许瑞伟，博士、教授，博士生导师 邮 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. 2019FukuokaUniversity, 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》

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

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.

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.arXiv: 2112.01947(with Miaoxin Lei)