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许瑞伟，博士、教授，博士生导师 邮 件： xuruiwei@126.com
办公室：数学楼S312
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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. |
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Differential Geometry(微分几何) |
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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》 |
河南省优秀硕士学位论文指导教师；河南师范大学“三育人”先进个人；河南师范大学工会积极分子；河南师范大学优秀实习指导教师；河南师范大学文明教师；河南师范大学优秀共产党员；河南师范大学优秀教师；河南师范大学优秀课例。 |
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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. |
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[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)
