On hypersurfaces of the homogeneous nearly Kähler S^3×S^3

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:胡泽军(郑州大学)
:2022-06-02 10:00
:腾讯会议ID:309153938(无密码)

报告人:胡泽军(郑州大学)

时  间:62日上午10:30

地  点:腾讯会议ID309153938(无密码)

内容摘要:

The product manifold S^3×S^3 of two 3-spheres equipped with a special non-standard metric and a special almost complex structure is one of the only four homogeneous 6-dimensional nearly Kähler manifolds. In this lecture, I will talk about our recent study on hypersurfaces of this manifold. Our results concentrate on the classification of such hypersurfaces as the Hopf ones and that with canonical holomorphic distribution.

人简介:

胡泽军,郑州大学数学与统计学院博士生导师、二级教授、中国数学会理事、国际数学期刊《Journal of Geometry》和《JP Journal of Geometry and Topology》编委。曾主持河南省杰出青年科学基金和国家自然科学基金面上项目5项。 研究方向为微分几何,研究领域涉及子流形的几何与拓扑、共形微分几何、仿射微分几何、黎曼流形的曲率与拓扑、流形上的微分方程,特别在等仿射超曲面和中心仿射超曲面研究中做出了系统而深入的工作,在J. Differential Geom., Trans. Amer. Math. Soc., J. Geom. Anal. 等期刊发表论文50余篇。

 

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