师资队伍

基本信息

姓名:贺群

部门:分析与几何

职称:教授

E-mail:01064@tongji.edu.cn

研究方向:

整体微分几何。主要从事Finsler几何、包括调和映射与Laplace算子、 子流形几何等相关问题的研究。

教育背景:

1978.09-1982.06      西北师范大学数学系     本科生
1998.09-2001.06      浙江大学数学系           博士生
 

工作经历:

1982.07-1996.11      西北师范大学数学系     教师
1996.12-1998.08      西北师范大学数学系     副教授
2001.06-现在            同济大学数学系           教师,教授

论文与出版物:
  1. He Qun, Shen Yi-Bing, The factorization and symplectic uniton numbers for harmonic maps into symplectic groups, Science in China Ser.A, 2001, 44(10): 1225-1235.
  2. He Qun, Shen Yi-Bing, On harmonic maps into symplectic groups Sp(N), Chinese Ann. of Math., 2001, 22B(4): 519-528.
  3. Shen Yi-Bing, He Qun, On stable currents and positively curved hypersurfaces,  Proc. Amer. Math. Soc., 2001, 129(1): 237-246.
  4. He Qun, Shen Yi-Bing, Darboux transformations and isometric immersions of Riemannian products of space forms, Kodai Math.J., 2002, 25(3): 321-340.
  5. 贺群, 到四元Grassmann流形的调和映射, 高校应用数学学报, 2002, 17A(1): 67-73.
  6. He Qun, Shen Yi-Bing, Darboux Transformations and Isometric Immersions of Space Forms, Proceedings of the International Conference on Modern Mathematics and the International Symposium on Differential Geometry in Honour of Professor Su Buchin,  2002, 10.
  7. He Qun, Shen Yi-Bing, Explicit construction for local isometric immersions of space forms, Chinese Ann. of Math., 2003, 24B(1): 97-110.
  8. He Qun, Shen Yi-Bing, Explicit construction for harmonic surfaces in U(N) via adding unitons, Chinese Ann. of Math., 2004, 25B(1): 119-128.
  9. Shen Yi-Bing, He Qun, On minimal immersions of into the nearly Kähler , Acta Math.Scientia, 2004, 24B: 349-360.
  10. He Qun, Shen Yi-Bing, On Bernstein type theorems in Finsler spaces with the volume form induced from the projective sphere bundle,  Proc. Amer. Math. Soc., 2006, 134(3): 871-880.
  11. He Qun, Shen Yi-Bing, Some Results on Harmonic Maps for Finsler manifolds,International Journal of Math., 2005, 16(9): 1017-1031.
  12. 贺群, 沈一兵,关于Finsler子流形的平均曲率, 数学年刊, 2006, 27A(5): 663-674.(He Qun, Shen Yi-Bing, On the mean curvature of Finsler submanifolds,Chinese Journal of contemporary Math.,2006, 27C(4): 431~442)
  13. He Qun, Shen Yi-Bing, Some Properties of Harmonic Maps for Finsler manifolds, Houston Journal of Mathematics, 2007, Volume 33, No.3: 683~700.
  14. He Qun, Yang Wei , Volume Forms and Minimal Surfaces of Rotation in Finsler Spaces with $(\alpha, \beta )$-Metrics, International Journal of Math., 2010, 21 (11 ): 1401-1411.
  15. He Qun, Yang Wei , Zhao Wei, On totally umbilical submanifolds of Finsler spaces, Annales Polonici Math., 2011, 100(2):147-157.
  16. He Qun,  Zhao Wei, On the stability of minimal immersions into Finsler manifolds,Diff. Geom. and its Applications, 30 (2012) 438–449.
  17. He Qun,  Zhao Wei, Variation problems and E-valued horizontal harmonic forms on Finsler manifolds,Publ. Math. Debrecen, 2013, 82 (2): 325-339.
  18. Songting Yin, Qun He, Ding He Xie, Minimal submanifolds in general (\alpha,\beta)-spaces, Annales Polonici Math., 108.1 ( 2013) 43-59.
  19. Xiao Jinxiu, Qiu, Chunhui; He Qun, Chen Zhihua, LAPLACIAN COMPARISON ON COMPLEX FINSLER MANIFOLDS AND ITS APPLICATIONS , International Journal of Math., 2013, 24(5) DOI: 10.1142/S0129167X13500341.
  20. Zheng Daxiao, He Qun, Projective change between arbitrary (α,β)-metric and Randers metric, Publ. Math. Debrecen, 2013, 83 (2), 179-196.
  21. Songting Yin, Qun He and Yibing Shen,On Lower Bounds of the First Eigenvalue of Finsler-Laplacia,Publ. Math. Debrecen, 2013, 83 (3), 385-405.
  22. Songting Yin, Qun He and Yibing Shen, On the first eigenvalue of Finsler-Laplacian in a Finsler  manifold with nonnegative weighted Ricci curvature, Science in China Ser.A, 2013,  doi: 10.1007/s11425-013-4707-9.
  23. Songting Yin, Qun He and Yibing Shen, On the first eigenvalue of Finsler-Laplacian in a Finsler  manifold with nonnegative weighted Ricci curvature, Science in China Ser. A, 2014,57(5): 1057–1070.
  24. Songting Yin, Qun He and Daxiao Zheng, Some comparison theorems and their applications in Finsler geometry,  Journal of Inequalities and Applications, 2014:107.
  25. Guangzu Chen, Qun He, Shengliang Pan,On weak Berwald (α,β)-metrics of scalar flag curvature,Journal of Geometry and Physics, 86 (2014) , 112-121.
  26. Songting Yin, Qun He,  The first eigenvalue of Finsler p-Laplacian, Differential Geometry and its Applications , 35 (2014) 30–49.
  27. Qun He and Daxiao Zheng, Some rigidity theorems of harmonic maps between Finsler manifolds  ,  Int. J. Math. 25, 1450043 (2014)  [13 pages] DOI: 10.1142/S0129167X14500438.
  28. Songting Yin, Qun He,  Eigenvalue Comparison Theorems on Finsler Manifolds, Chin. Ann.  Math.,36B(1), 2015, 31–44.
  29.  Songting Yin, Qun He,  Eigenvalue Comparison Theorems on Finsler Manifolds, Chin. Ann. Math., 36B(1), 2015, 3144.
  30. Guangzu Chen, Qun He, Zhongmin ShenOn Conformally flat (α,β)-metrics with Constant Flag Curvature Publ. Math. Debrecen,. 86/3-4 (2015), 387-400.
  31.  Songting Yin, Qun He, A generalized Omori-Yau maximum principle in Finsler geometry, Nonlinear Analysis 128 (2015), 227-247.
  32.  Zheng Daxiao, He Qun, (α,β)-metrics with almost isotropic flag curvature, Adav. in Math.(China), 2015, 44 (4), 599-606.
  33.  S.-T. Yin, Q. He*, D.-X. Zheng, Some new lower bounds of the first eigenvalue on Finsler manifolds,  Kodai Mathematical Journal(0386-5991), 39(2016)318339.
  34. Songting Yin, Qun He*, THE FIRST EIGENFUNCTIONS AND EIGENVALUE OF THE p-LAPLACIAN ON FINSLER MANIFOLDS, Science in China Ser. A(1674-7283), 201659(9)1769–1794.
  35.  Q. He S. T. Yin, and Y. B. Shen, Isoparametric hypersurfaces in Minkowski spaces, Diff. Geom. and its Applications(0926-2245),  47(2016)133–158.
  36. Q. He S. T. Yin, and Y. B. Shen, Isoparametric hypersurfaces in Funk spacesScience in China Ser. A, 20176012),24472464.
  37. Qun He, Fanqi Zeng and Daxiao ZhengOn the first eigenvalue of the mean Finsler-Laplacian Acta Mathematica Scientia Ser. B,20174),37:1162-1172.
  38.  Fanqi Zeng, Qun He, Reilly-Type Inequalities for the First Eigenvalue of p-Laplacian of Submanifolds in Minkowski Spaces,  Mediterr. J. Math. (2017) 14:218, DOI 10.1007/s00009-017-1005-8. 

著作:

  1. 主编出版《Finsler调和映射与Laplace算子》,科学出版社,2014.
  2. 主编出版《CR-子流形引论》,甘肃教育出版社, 1996.
科研项目:

主持项目:

  1. 国家自然科学基金:《关于 Finsler 流形上调和映射与 Laplacian 的若干问题研究》,2015.01—2018.12 ;
  2. 上海市自然科学基金项目:《关于Finsler几何若干问题的研究》,2009年 08月至 2012年 07 月;
  3. 同济大学理科发展基金项目《调和映射与孤立子理论》。

参加项目:

  1. 《基本群表示,调和度量的构造及其到上同调的应用》;
  2. 《芬斯勒几何中的旗曲率和Ricci曲率》;
  3. 《关于调和映射与可积系统的若干研究》;
  4. 《系数在局部常层中的上同调理论及其到代数几何中的应用》;
  5. 《关于Keahler流形中CR-子流形的研究》;
  6. 上海市曙光计划:《非阿贝尔Hodge理论、Higgs上同调及广义Eichler-Shimura理论》;
  7. 安徽省高校自然科学研究重点项目:《Natural Science Foundation of Higher Education in Anhui Province》。
获奖荣誉:
  1. 参加甘肃省自然科学基金项目《关于S-系理论和模理论的研究》,获得1997年度甘肃省科技进步二等奖;
  2. 2009年 获上海市育才奖;
  3. 2009-2010年度 同济大学三八红旗手;
  4. 2010年度 同济大学“倪天增教育奖励金”;
  5. 2011年获同济大学本科生学科竞赛优秀指导教师;
  6. 2016年度 “上海三菱电梯奖励金”;
  7.  2017参加《数学分析》课程与教学团队建设获教学成果特等奖;

  8. 2017年获同济大学“立德树人”优秀教师奖。

个人简介:
       教授,博士生导师,长期从事基础数学专业的教学与科研工作。主要从事Finsler几何、调和映射与孤立子理论、Keahler流形及其CR-子流形方面的研究。

教学状况:

  1. 主讲本科《数学分析》上中下、《微分几何》、《解析几何》、《拓扑学》、《高等数学》、《微积分》等多门课程;
  2. 主讲研究生 《现代几何基础》、《微分流形》、《黎曼几何》、《李群与调和映射》、《Finsler几何》等课程.

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