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学术报告-胡泽军

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2020-11-19 14:58:00

学术报告


题      目:The study of affine hypersurfaces and its recent progress



报  告  人:胡泽军   教授  (邀请人:魏国新 )

                                   郑州大学




时      间:2020-11-19 09:00--10:00


地      点:学院401


报告人简介:

        胡泽军教授,博士生导师。现任中国数学会理事,《Journal of Geometry》编委。曾主持河南省杰出青年科学基金、四项国家自然科学基金面上项目。研究方向为微分几何。已在国内外著名数学期刊上发表SCI论文50余篇。

摘      要:

       In this lecture, I will talk about the recent researches on the study of locally strongly convex affine hypersurfaces. I will introduce our results on both equiaffine and centroaffine hypersurfaces. These mainly include the following: 1.We classify affine hyperspheres which, as Riemannian manifolds, are locally isometric to the Riemannian product of two Riemannian manifolds both having constant sectional curvatures. 2.We show that every centroaffine Tchebychev hyperovaloid is ellipsoid. 3.We establish new characterizations of the ellipsoids by integral inequalities in terms of equiaffine (resp. centroaffine) invariants.