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Positively curved 6-manifolds with non-Abelian symmetry
发布时间: 2018-12-13     17:06   【返回上一页】 发布人:刘宇航


微分几何专题报告

 

 

报告题目:Positively curved 6-manifolds with non-Abelian symmetry

 

报告人:刘宇航 博士 (University of Pennsylvania)

 

时间地点: 12月25日 10:00-11:00, 后主楼 1223

 

邀请人:彦文娇

 

报告摘要: Closed Riemannian manifolds with positive sectional curvature are a class of fundamental objects in Riemannian geometry.  There are few known examples of such manifolds, each of which possesses interesting geometric properties. In this talk, I will review  a few classical results in positive curvature, including Bonnet-Myers theorem and Synge theorem. Then I will move to the special case  of dim 6, talking about the classification problem of positively curved 6-manifolds with certain non-Abelian symmetry conditions.  This is ongoing research on my thesis topic.