许瑞伟博士


  

 

 

 

许瑞伟,博士教授,博士生导师

  件:xuruiwei@126.com
办公室:数学楼S312

 

 

 

 

个人简历

 

教育经历:

Ph.D. Mathematics,June 2008, Sichuan University;

M.S. Mathematics,July 2005, Henan Normal University;

B.S. Mathematics,July 2002, Henan Normal University.

工作经历:

Apr.2021--- Henan Normal University,  Professor,

Apr.2012--- Mar.2021 Henan Normal University, Associate Professor,

Jan.2019--- Feb.2019 Fukuoka University, visit scholar,

Sept.2012---Aug.2013, Washington University, visit scholar,

Jun.2009 ---Jul.2009, Technische Universität Berlin, visiting scholar,

Jun.2008 ---Jul.2008, Technische Universität Berlin, visiting scholar.

 

研究领域

 

Differential Geometry (微分几何)

 

教学工作

 

主讲本科生课程:《解析几何《微分几何》、《高等数学》;

主讲研究生课程:《微分流形》、《黎曼几何》等。

 

获奖情况

河南省优秀硕士学位论文指导教师;优秀共产党员;优秀教师“三育人”先进个人;文明教师工会积极分子;优秀实习指导教师  

 

科研项目

 

 

1. Bernstein problems of complete affine hypersurfaces and its applications to mean curvature flow, 2019.01-2022.12,国家自然科学基金-面上基金(11871197),主持.

2. Complete affine hypersurfaces and its applications in fourth order PDE, 2012.01-2014.12, 国家自然科学基金-青年基金(11101129),主持.

3. On the global solutions of fourth order PDE in affine differential geometry, 2010.01-2010.12, 国家自然科学基金-天元基金(10926172),主持.

4. Calabi仿射极值超曲面与中心仿射Bernstein猜想,2026.01-2027.12,河南省自然科学基金-面上项目(262300421852),主持.

 

 

论文著作

 

[1] On the stability of stationary surfaces in S^4_1. Differential Geom. Appl. 25(2007), no. 3, 258-265. (with Xingxiao Li)

[2] Bernstein properties for some relative parabolic affine hyperspheres. Results Math. 52(2008), 409-422.

[3] A rigidity theorem for an affine Kähler Ricci flat graph. Results Math. 56(2009), no. 1-4, 141-164.(with An-min Li)

[4] A cubic form differential inequality with applications to affine Kähler Ricci flat manifolds. Results Math. 54 (2009), no. 3-4, 329-340. (with An-min Li)

[5] Affine Bernstein Problems and Monge-Ampère Equations. World Scientific Publishing House, Singapore, 2010. ISBN: 978-981-281-416-6. (with An-min Li, Udo Simon, Fang Jia)

[6] Notes to Chern’s conjecture on affine maximal surface. Results Math. 60(2011), 133-155. (with An-min Li, Udo Simon, Fang Jia )

[7] Geometric modelling techniques for the solution of certain Monge-Ampère equations. Advances in geometric analysis. 21-44, Adv. Lect. Math. (ALM), 21, Int. Press, Somerville, MA, 2012. (with Udo Simon)

[8] Bernstein theorems for complete alpha-relative extremal hypersurfaces. Ann. Global Anal. Geom. 43(2)2013, 143-152. (with Min Xiong, Li Sheng)

[9] On the rigidity theorems for Lagrangian translating solitons in pseudo-Euclidean space I. Acta Math. Sin (English series) , 29(7)2013, 1369-1380. (with Rongli Huang)

[10] On the rigidity theorems for Lagrangian translating solitons in pseudo- Euclidean space III. Calc. Var. Partial Differential Equations, 54(2015), 3337-3351. (with Lingyun Zhu)

[11] On the rigidity theorems for Lagrangian translating solitons in pseudo- Euclidean space II.  Internat. J. Math. 26(2015), no. 9, 1550072, 10 pp. (with Rongli Huang)

[12] A simple proof of a rigidity theorem for an affine Kähler Ricci flat graph. Results Math. 70(2016), no. 1-2, 249-256.(with Lingyun Zhu)

[13] A rigidity theorem of alpha-relative parabolic hyperspheres. Manuscripta Math. 154(2017), 503-512. (with Lingyun Zhu)

[14] Rigidity of complete spacelike translating solitons in pseudo-Euclidean space. J. Math. Anal. Appl. 477(2019), 692–707. (with Tao Liu)

[15] Classification of Calabi hypersurfaces with parallel Fubini-Pick form. Differential Geom. Appl. 74 (2021), 101707, 16 pp. (with Miaoxin Lei)

[16] On the rigidity theorems for entire Lagrangian translating solitons in pseudo-Euclidean space IV. Results Math. 76(2021), no. 2, Paper No. 59, 12 pp. (with Yadong Wu)

[17] A characterization of the Standard Tori in C^2 as compact Lagrangian \xi- submanifolds. Chinese Ann. Math. Ser. B 43(2022), no. 3, 473-484. (with Xingxiao Li)

[18] On the complete solutions to the Tchebychev affine Kähler equation and its geometric significance. J. Math. Anal. Appl. 514(2022), no. 2, Paper No. 126351, 18 pp. (with Xingxiao Li)  

[19] Classification of isotropic Calabi hypersurfaces. Differential Geom. Appl. 85(2022), Paper No. 101954,18pp. (with Xiaoqian Liu, Miaoxin Lei)

[20] Classification of Calabi hypersurfaces in R^{n+1} with parallel Fubini-Pick form. J. Geom. Anal. 34 (2024), no. 6, Paper No. 169, 30 pp. (with Miaoxin Lei)

[21] Classification of the conformally flat Tchebychev affine Kähler hypersurfaces. J. Math. Anal. Appl. 537(2024), no. 2, Paper No. 128289, 17 pp. (with Miaoxin Lei, Peibiao Zhao)

[22] Classification of the conformally flat centroaffine hypersurfaces with vanishing centroaffine shape operator. Chinese Ann. Math. Ser. B 46(2025), no. 2, 163-180. (with Miaoxin Lei, Peibiao Zhao)

[23] A class of new complete affine maximal type hypersurfaces. Differential Geom. Appl. 101(2025), Paper No. 102308, 18 pp. (with Yalin Sun)

[24] On Calabi Tchebychev hypersurfaces with constant sectional curvature. Results Math. 81(2026), no. 3, Paper No. 71, 30 pp. (with Yalin Sun, Mengguo Zhang)

[25] Calabi affine maximal surfaces and centroaffine Bernstein problems. arXiv: 2601.10125. (with Yalin Sun, Cheng Xing)

 


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