微分几何与应用；信息与计算几何；几何生物学。

发表论文：

[01] H. L. Liu, Minimal timelike surfaces in 3-Minkowski space, J. of NEUT, 12(1991),308-310.
[02] H. L. Liu, Indefinite harmonic metrics, harmonic tensors and harmonic immersions, Northeastern Math. J., 7(1991), 397-405.
[03] H. L. Liu, Minimal immersions of Pseudo-Riemannian manifolds, Tsukuba J. of Math., 16(1992), 1-10.
[04] H. L. Liu, Minimal submanifolds and harmonic maps in Pseudo-Riemannian manifold, J. of NEUT, 13(1992), 94-100.
[05] H. L. Liu, Submanifolds of Pseudo-Riemannian sphere and Pseudo-hyperbolic space, J. of Liaoning Univ., 47(1992), No.2, 23-27.
[06] H. L. Liu, Harmonic maps and minimal immersions in Pseudo-Riemennian manifold, J. of Liaoning Univ., 47(1992), No.3, 76-84.
[07] H. L. Liu, Gauss-like maps, J. of Sichuan Teachers College, 13(1992), 201-207.
[08] H. L. Liu, Spherical rotation surfaces with constant mean curvature in 3-dimensional de Sitter space, Proceedings of the first academic annual meeting at youths of Liaoning Province, December, 1992, 33-37.
[09] H. L. Liu, Translation surfaces with dependant Gauss and mean curvatures in 3-space, J. of NEUT, 14(1993), 87-93.
[10] H. L. Liu, Rotation surfaces of finite type in Pseudo-Euclidean space, Algebras, Groups and Geometries, 10(1993), 253-261.
[11] H. L. Liu, Maximal and minimal rotation surfaces in 3-dimensional anti-de Sitter space, Journal of the Hebei Academy of Sciences, 1992, No.4, 10-14.
[12] H. L. Liu, Parabolic rotation surfaces with constant mean curvature in 3-dimensional de Sitter space, J. of Yuzhou Univ., 10(1993), No.2, 6-9.
[13] H. L. Liu and G. L. Liu, Rotation surfaces with constant mean curvature in 4-dimensional Pseudo-Euclidean space, Kyushu J. of Math., 48(1994), 35-42.
[14] H. L. Liu and C. P. Wang, Centroaffinely homogeneous surfaces in R^3, Contributions to Algebra and Geometry, 35(1994), 109-117.
[15] H. L. Liu G. L. Liu, On the Gauss map of rotation surfaces in 3-dimensional Minkowski space, Kyushu J. of Math., 48(1994), 347-356.
[16] H. L. Liu, Maximal and minimal rotation surfaces in 3-dimensional de Sitter space and their global stability, Atti del Semi. Mate. e Fisico dell'Univ. di Modena, 42(1994), 319-327.
[17] H. L. Liu and C. P. Wang, The centroaffine Tchebychev operator (summary), In: Geometry and Topology of Submanifolds VII, Proc. Conf. Diff. Geom. Leuven 1994, 172-175, World Scientific, 1995, 172-175.
[18] H. L. Liu, General Weierstrass formula of surfaces in 3-dimensional Minkowski space, Acta Mathematica Sinica, 38(1995), 191-199.
[19] H. L. Liu, Surfaces with null mean curvature of form f(x) + g(y) + h(z) = 0 in the 3-dimensional Minkowski space, J. of Liaoning Normal University, 18(1995), No.1, 10-16.
[20] H. L. Liu and C. P. Wang, The centroaffine Tchebychev operator, Results in Mathematics, 27(1995), 77-92.
[21] H. L. Liu, U. Simon and C. P. Wang, Conformal structure in affine geometry: complete Tchebychev hypersurfaces, Abh. Math. Sem. Hamburg, 66(1996), 249-262.
[22] H. L. Liu, Classification of the flat equi-centroaffinely homogeneous surfaces in R^4, In: Geometry and Topology of Submanifolds VIII, edited by F. Dillen, et al., Proc. Conf. Nordfjordeid, Norway, 18-31 July 1995, World Scientific, Singapore, 1996, 209-220.
[23] H. L. Liu, Classification of the flat equi-centroaffinely homogeneous surfaces with indefinite metric in R^4, Results in Math., 29(1996), 280-304.
[24] H. L. Liu and C. P. Wang, Relative Tchebychev surfaces in R^3, Kyushu J. of Math., 50(1996), 533-540.
[25] H. L. Liu, Centroaffinely homogeneous surfaces in R^3 and R^4, Dissertation, FB Mathematik, TU Berlin 1996.
[26] H. L. Liu, M. Magid, Ch. Scharlach and U. Simon, Recent developments in affine differential geometry, In: Geometry and Topology of Submanifolds VIII, edited by F. Dillen, et al., Proc. Conf. Nordfjordeid, Norway, 18-31 July 1995, World Scientific, Singapore, 1996, 1-15 \& 393-408.
[27] H. L. Liu, Classification of Surfaces in R^3 which are centroaffine - minimal and equiaffine - minimal, Bull. Belg. Math. Soc., 3(1996), 577-583.
[28] H. L. Liu, Rotation surfaces of finite type in 3-dimansional de Sitter space, Algebras, Groups and Geometries, 13(1996), 359-369.
[29] A.-M. Li, H. L. Liu, A. Schwenk-Schellschmidt, U. Simon and C. P. Wang, Cubic form methods and relative Tchebychev hypersurfaces, Geometriae Dedicata, 66(1997), 203-221.
[30] H. L. Liu, Indefinite equi-centroaffinely homogeneous surfaces with vanishing Pick-Invariant in R^4, Hokkaido Math. J., 26(1997), 225-251.
[31] H. L. Liu and C. P. Wang, Centroaffine surfaces with parallel traceless cubic form, Bull. Belg. Math. Soc., 4(1997), 493-499.
[32] H. L. Liu, Equi-centroaffinely homogeneous surfaces with vanishing Pick-Invariant in R^4, Proceedings of 1-st Non-Orthodox School on Nonlinearity & Geometry, 1998, 335-340.
[33] H. L. Liu, U. Simon and C. P. Wang, Codazzi Tensors and the Topology of Surfaces, Annals Global Analysis and Geometry, 16(1998), 1-14.
[34] H. L. Liu, U. Simon and C. P. Wang, Higher Order Codazzi Tensors on conformally flat Spaces, Contributions Alg. and Geom., 39(1998), 329-348.
[35] F. Brito, H. L. Liu, U. Simon and C. P. Wang, Hypersurfaces in space forms with some constant curvature functions, In: Geometry and Topology of Submanifolds IX, World Scientific, Singapore, 1999, 48-63.
[36] H. L. Liu, U. Simon, L. Verstraelen and C. P. Wang, The third fundamental form metric for hypersurfaces in nonflat space forms, J. of Geometry, 65(1999), 130-142.
[37] F. Brito, H. L. Liu, V. I. Oliker, U. Simon and C. P. Wang, Polar Hypersurfaces in Spheres, In: Geometry and Topology of Submanifolds IX, World Scientific, Singapore, 1999, 33-47.
[38] H. L. Liu, Translation surfaces with constant mean curvature in 3-dimensional spaces, J. Geometry, 64(1999), 141-149.
[39] H. L. Liu, Flat centroaffinely homogeneous surfaces in R^4, Bulletin of the Institute of Mathematics Academia Sinica, 27(1999), 85-97.     
[40] H. L. Liu, G. L. Liu, Hyperbolic rotation surfaces of constant mean curvature in 3-de Sitter space, Bull. Belg. Math. Soc., 7(2000), 1-10.
[41] G. L. Liu, G. Y. Zhang, H. L. Liu, The study on crack diagnosis system of rectangle thin plate structure fixed at four sides, Engineering Design, 23(2000), 38-40.
[42] Fengfu Peng, Zhiyun Ying, H. L. Liu, Bertrand curves in the Lorentzian geometry, J. Wuhan Inst. Chem. Tech., 32, No. 3(2000), 78-79.
[43] Wei Xing, Qingling Zhang, Qiyi Wang, Huili Liu, A condition of state-feedback H_{\infty} control for descriptor systems, Control and Decision, 16(2001), 219-221.
[44] Yanjuan Deng, Huili Liu, Rotation Surfaces with constant mean curvature in 3-dimensional Anti-de Sitter space (Chinese), Acta Mathematica Sinica, 45(2002), 1177-1184.
[45] Huili Liu, Yanjuan Deng, Rotation surfaces in 4-dimensional Euclidean space (Chinese), J. of NEUT, 23(2002), 499-502.
[46] Huili Liu, Changping Wang, Guosong Zhao, Moebius isotropic submanifolds in S^{n}, Tohoku Math. J., 53(2001), 553-569.
[47] Haizhong Li, Huili Liu, Changping Wang, Guosong Zhao, Moebius isoparametric hypersurfaces in S^{n+1} with two distinct principal curvatures, Acta Mathematica Sinica, English Series, 18(2002), 437-446.
[48] H. L. Liu, G. L. Liu, Weingarten rotation surfaces in 3-dimensional de Sitter space, J. of Geometry, 79(2004), 156-168.
[49] Huili Liu, Curves in the lightlike cone, Contributions to Algebra and Geometry, 45(2004), 291-303.
[50] Huili Liu, Surfaces in the lightlike cone, Journal of Mathematical Analysis and Applications, 325(2007), 1171-1181.
[51] Huili Liu, Seoung Dal Jung, Indefinite centroaffine surfaces with vanishing generalized Pick function, Journal of Mathematical Analysis and Applications, 329(2007), 712-720.
[52] Fan Wang, Huili Liu, Mannheim partner curves in 3-Euclidean space (Chinese), Mathematics in Practice and Theory, 37(2007), 141-143.
[53] Yuan Yuan, Huili Liu, Principal normal surfaces of curves, Journal of Northeastern University, 28(2007), 145-148.
[54] Yanhua Yu, Huili Liu, The factorable minimal surfaces, Proceedings of The Eleventh International Workshop on Differential Geometry, 11(2007), 33-39.
[55] U-Hang Ki, Huili Liu, Some characterizations of real hypersurfaces of type (A) in a nonflat complex space form, Bulletin of the Korean Mathematical Society, 44(2007), 157-172.
[56] Yun Yang, Huili Liu, Classification of quadratic surfaces in 3-Minkowski space, Journal of Northeastern University, 28(2007), 898-901.
[57] Yanhua Yu, Huili Liu, Curves on 2-de Sitter space in 3-Minkowski space, Journal of Northeastern University, 28(2007), 902-904.
[58] Seoung Dal Jung, Huili Liu, Dong Joo Moon, A Liouville type theorem for harmonic morphisms, Journal of Korean Mathematical Society, 44(2007), No. 4, 941-947.
[59] Huili Liu, Seoung Dal Jung, Hypersurfaces which are equiaffine extremal and centroaffine extremal, Bull. Braz. Math. Soc., New Series, 38(4)(2007), 555-571.
[60] Yun Yang, Huili Liu, Darboux curve in 3-Euclidean space, Proceedings of Workshop on Differential Geometry and Applications, 2007 International Joint Seminar of The KOSEF-NSFC Scientific Cooperation Program, edited by Huili Liu and Young Ho Kim, September 17-19, 2007, Taegu, Korea, 3-9.
[61] Yun Yang, Huili Liu, Normalizations of centroaffine immersions with codimension two, Proceedings of Workshop on Differential Geometry and Applications, 2007 International Joint Seminar of The KOSEF-NSFC Scientific Cooperation Program, edited by Huili Liu and Young Ho Kim, September 17-19, 2007, Taegu, Korea, 66-72.
[62] Yanhua Yu, Huili Liu, Curves in 2-affine space and Euclidean space, Proceedings of Workshop on Differential Geometry and Applications, 2007 International Joint Seminar of The KOSEF-NSFC Scientific Cooperation Program, edited by Huili Liu and Young Ho Kim, September 17-19, 2007, Taegu, Korea, 73-76.
[63] Huili Liu, Extremal surfaces in equiaffine and centroaffine geometry, Proceedings of Workshop on Differential Geometry and Applications, 2007 International Joint Seminar of The KOSEF-NSFC Scientific Cooperation Program, edited by Huili Liu and Young Ho Kim, September 17-19, 2007, Taegu, Korea, 85-94.
[64] Jinhua Qian, Huili Liu, Null Bertrand curves in 3-Minkowski space, Proceedings of Workshop on Differential Geometry and Applications, 2007 International Joint Seminar of The KOSEF-NSFC Scientific Cooperation Program, edited by Huili Liu and Young Ho Kim, September 17-19, 2007, Taegu, Korea, 122-128.
[65] Yuan Yuan, Huili Liu, Translation surfaces in 3-Minkowski space, Proceedings of Workshop on Differential Geometry and Applications, 2007 International Joint Seminar of The KOSEF-NSFC Scientific Cooperation Program, edited by Huili Liu and Young Ho Kim, September 17-19, 2007, Taegu, Korea, 149-156.
[66] Huili Liu, Fan Wang, Mannheim partner curves in 3-space, J. of Geometry, 88 (2008), 120–126. Also Proceedings of The Eleventh International Workshop on Differential Geometry, 11(2007), 25-31.
[67] Dong Joo Moon, Huili Liu, Seoung Dal Jung, Liouville type theorems for p-harmonic maps, Journal of Mathematical Analysis and Applications, 342(2008), 354-360.
[68] Huili Liu, Seoung Dal Jung, Hypersurfaces in lightlike cone, Journal of Geometry and Physics, 58(2008), 913-922.
[69] Yun Yang, Huili Liu, Minimal centroaffine immersions of codimension two, Results in Mathematics, 52(2008), 423-437.
[70] Yanhua Yu, Huili Liu, A characterization of parabola, Bull. Korean Math. Soc. 45(2008), No. 4, 631-634.
[71] Huili Liu, Ruled surfaces with lightlike ruling in 3-Minkowski space, Journal of Geometry and Physics, 59(2009), 74-78.
[72] Huihui Meng, Huili Liu, Factorable surfaces in 3-Minkowski space, Bulletin of the Korean Mathematical Society, 46(2009), No. 1, 155-169.
[73] Yuan Yuan, Jinliang Zhang, Chunxiu Li, Huili Liu, Translation Surfaces in 3-D Minkowski Space, Journal of Northeastern University, 30(2009), 302-304.
[74] Qingxian Meng, Huili Liu, G2 Connection of Bezier Patches around a Common Corner, Proceeding of the 2009 WRI World Congress on Computer Science and Information Engineering, Los Angeles, California USA, 2009, 694-697.
[75] Qingxian Meng, Xinyuan Ou, Huili Liu, Best area approximation algorithm for circles with polygons, Computer Science，36(2009), No. 4A, 30-32.
[76] Qingxian Meng, Huili Liu, Smooth connection of Bezier triangular surfaces with a common vertex, J. of Computer-aided Design & Computer Graphics, 21(2009), No.8, 1074-1082.
[77] Ruoyun Qian, Huili Liu, Null Bertrand Curves in 3-D Minkowski Space, Journal of Northeastern University, 30(2009), No.7, 1058-1060.
[78] Fenghui Ji, Huili Liu, Helicoidal surfaces with $lH+K=c$ in 3-dimensional Minkowski space, Advances in Mathematics, 38(2009), No. 5, 579-589.
[79] Yun Yang, Yanhua Yu, Huili Liu, Centroaffine translation surfaces in R^3, Results in mathematics, 56(2009), 197-210.
[80] Huili Liu, Characterizations of ruled surfaces with lightlike ruling in Minkowski 3-space, Results in mathematics, 56(2009), 357-368.
[81] Yanhua Yu, Yun Yang, Huili Liu, Centroaffine ruled surfaces in R^3, J. Math. Anal. Appl., 365(2010), 683-693.
[82] Miektung Choi, Young Ho Kim, Huili Liu, Dae Won Yoon, Helicoidal surfaces and their Gauss map in Minkowski 3-space, Bull. Korean Math. Soc., 47(2010), No. 4, 859-881.
[83] Huili Liu, Masaaki Umehara, Kotaro Yamada, The duality of conformally flat manifolds, Bull. Braz. Math. Soc., 42(1)(2011), 131-152.
[84] Huili Liu, Qingxian Meng, Representation formulas of curves in a 2 and 3 dimensional lightlike cone, Results Math., 59(2011), 437-451. 61(2012)(3-4), pp 423-424.
[85] Yun Yang, Yanhua Yu, Huili Liu, Linear Weingarten centroaffine translation surfaces in R^3, J. Math. Anal. Appl., 375(2011), 458-466.
[86] Huili Liu, Representation of surfaces in 3-dimensional lightlike cone, Bull. Belg. Math. Soc., Simon Stevin, 18(2011), 737-748.
[87] Yuan Yuan, Huili Liu, Some New Translation Surfaces in 3-Minkowski Space, Journal of Mathematical Research & Exposition, 31(6)(2011), 1123-1128.
[88] Qingxian Meng, Huili Liu, Regularity of Bezier Curves, 3rd International Conference on Measuring Technology and Mechatronics Automation (ICMTMA 2011), 2011/1/6-2011/1/7, pp 877-880, Shanghai, PEOPLES R CHINA, 2011.
[89] Huili Liu, Yuan Yuan, Pitch functions of ruled surfaces and B-scrolls in Minkowski 3-space, Journal of Geometry and Physics, 62(2012), 47-52.
[90] Seoung Dal Jung, Huili Liu, Transversal infinitesimal automorphisms on Kaehler foliations, Bulletin of the Australian Mathematical Society, 86(2012), issue 03, pp. 405-415.
[91] Huili Liu, Timelike surfaces in 3-dimensional lightlike cone, J. Math. Anal. Appl., 393(2012), 605-613.
[92] 于延华，杨云，刘会立，三维仿射空间中曲线的性质，东北大学学报，33(2012)，第4期，605-608.  （EI收录）
[93] 杨云，于延华，刘会立，三维Minkowski空间中给定平均曲率的旋转曲面，东北大学学报，33(2012)，第9期，1361-1363.  （EI收录）
[94] 袁媛，刘会立，空间曲线的副法线曲面，东北大学学报，33(2012)，第10期，1517-1520.  （EI收录）
[95] 钱金花，刘会立，金钢，三维Minkowski空间中的类光螺线，东北大学学报，33(2012)，第12 期，1800-1802.
[96] Yun Yang, Yanhua Yu, Huili Liu, Flat centroaffine surfaces with the degenerate second fundamental form and vanishing Pick invariant in R-4, Journal of Mathematical Analysis and Applications, 397(2013), 161-171.   （2012年SCI收录）
[97] Huili Liu, Weierstrass type representation for marginally trapped surfaces in Minkowski 4-space, Mathematical Physics, Analysis and Geometry, 16(2013), 171-178.
[98] Huili Liu, Yanhua Yu, Affine translation surfaces in Euclidean 3-space, Proceedings of the Japan Academy, Mathematical Sciences, 89, Ser. A (2013), 111-113.
[99] 三维Minkowski空间中的仿射仿射平移曲面，东北大学学报自然科学版。
Yuan Yuan, Longbiao Ma, Huili Liu, Affine Translation Surfaces in Minkowski 3D-Space, Journal of Northeastern University, 2013, Issue 10, 151-154.
[100] Huili Liu, Curves in affine and Semi-Euclidean spaces, Results in Mathematics, 65(2014), 235-249, (DOI 10.1007/s00025-013-0343-5)
[101] Huili Liu, Yanhua Yu, Seoung Dal Jung, Invariants of non-developable ruled surfaces in Euclidean 3-space, Beitraege zur Algebra und Geometrie, 55(2014), 189-199. (DOI 10.1007/s13366-013-0177-z)
[102] Yanhua Yu, Huili Liu, Seoung Dal Jung, Structure and characterization of ruled surfaces in Euclidean 3-space, Applied Mathematics and Computation, Volume 233, 1 May 2014, Pages 252-259. http://www.sciencedirect.com/science/article/pii/S0096300314002380
[103] Huili Liu, Curves in three dimensional Riemannian space forms, Results. Math., 66(2014), 469-480. DOI 10.1007/s00025-014-0387-1, online: http://link.springer.com/article/10.1007/s00025-014-0387-1.
[104] Yun Yang, Yanhua Yu, Huili Liu, Centroaffine geometry of equiaffine rotation surfaces in R3, J. Math. Anal. Appl., 414(2014), 46-60.
[105] Yun Yang, Yanhua Yu, Huili Liu, Flat centroaffine surfaces with parallel second fundamental form in R4, Applied Mathematics and Computation, 243(2014), 775-788.
[106] G. L. Liu, G. Y. Zhang, H. L. Liu, Application of simulated annealing algorithm in rotary mechanism fault diagnosis,  HEAVY MACHINERY, 2001, No.2, 54-56.
]107] G. L. Liu, G. Y. Zhang, H. L. Liu, Application of genetic algorithm in optimal design of elbow bar-type extrusion press, METALFORMING MACHINERY, 36(2001), No.1, 41-42.
[108] 宗鹏，肖琳，刘会立，三维欧氏空间的仿射乘积曲面，数学学报，58(2015)，第二期，329-336.
Peng Zong, Lin Xiao, Huili Liu, Affine factorable surfaces in three dimensional Euclidean space, Acta Mathematica Sinica Chinese Series, 58(2015), No. 2, 329-336.
[109] Young Ho Kim, Huili Liu, Jinhua Qian, Some characterizations of canal surfaces, Bull. Korean Math. Soc., 53(2016), No.2, 461-477.
[110] Seoung Dal Jung, Huili Liu, Vanishing theorems of the basic harmonic forms on a complete foliated Riemannian manifold, Bulletin of the Belgian Mathematical Society, 24(2017), 153-160.
[111] Huili Liu, Seoung Dal Jung, Affine translation surfaces with constant mean curvature in Euclidean 3-space, J. Geom., 108(2017), 423-428.
[112] Huili Liu, Seoung Dal Jung, Riccati equations and cone curves in Minkowski 3-space, J. Geom., 108(2017), 623-635.
[113] Huili Liu, Seoung Dal Jung, Null curves and representation in three dimensional Minkowski spacetime, New Horizons in Mathematical Physics, Vol. 1, No. 1, 2017, 1-10.
[114] Huili Liu, Seoung Dal Jung, Structures and properties of null scroll in Minkowski 3-space, International Journal of Geometric Methods in Modern Physics, 14(2017), No. 5, 1750066(11pages).
[115] Seoung Dal Jung, Huili Liu, Yixuan Liu, Weingarten affine translation surfaces in Euclidean 3-space, Results in Mathematics, 72(4)(2017), 1839-1848. DOI 10.1007/s00025-017-0737-x .
[116] Seoung Dal Jung, Huili Liu, L2-transverse conformal Killing forms on complete foliated manifolds, Math. Z., 288(2018), 665-677.
[117] Huili Liu, Yixuan Liu, Seoung Dal Jung, Ruled invariants and associated ruled surfaces of a space curve, Applied Mathematics and Computation, 348(2019), 479-486.
[118] Huili Liu, Yixuan Liu, Seoung Dal Jung, Associated spherical partner of space curve in Euclidean 3-space, Topology and its Applications, 264(2019), 79-88.
[119] Jinhua Qian, Xueshan Fu, Huili Liu, Representation of maximal surfaces in a 3-dimensional lightlike cone, Mathematics 2020, 8, 1921, pp1-11. doi:10.3390/math8111921
[120] Huili Liu, Yixuan Liu, Curves in three dimensional Riemannian space forms, J. Geom.,(2021) 112:8. https://doi.org/10.1007/s00022-021-00574-7