SeminarsExtrinsic curvature pinching theorems for Riemannian submanifolds
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The investigation of geometry and topology of submanifolds has a long history. For example, in 1960s, Simons, Lawson, Chern, do Carmo, Kobayashi proved the famous rigidity theorem for minimal submanifold in spheres, and in 1973, Lawson and Simons proved a topological sphere theorem for submanifolds in spheres. The submanifolds in these theorems are assumed to satisfy suitable pinching conditions. In this talk, I will introduce some recent results on the geometric and differentiable rigidity of submanifolds satisfying suitable extrinsic curvature pinching conditions.
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Entao Zhao
2014-10-23
14:30:00 - 15:30:00
308 , Mathematics Research Center Building (ori. New Math. Bldg.)
The investigation of geometry and topology of submanifolds has a long history. For example, in 1960s, Simons, Lawson, Chern, do Carmo, Kobayashi proved the famous rigidity theorem for minimal submanifold in spheres, and in 1973, Lawson and Simons proved a topological sphere theorem for submanifolds in spheres. The submanifolds in these theorems are assumed to satisfy suitable pinching conditions. In this talk, I will introduce some recent results on the geometric and differentiable rigidity of submanifolds satisfying suitable extrinsic curvature pinching conditions.