Rigidity and Flexibility of Isometric Extensions
报告题目(Title)： Rigidity and Flexibility of Isometric Extensions
报告人(Speaker)：曹文涛 副研究员 首都师范大学
地点(Place)：腾讯会议 ID：592 629 086
时间(Time)：2021-07-01（星期四）， 3:00-4:00 pm （Beijing Time）
邀请人(Inviter)：许孝精, 袁迪凡
报告摘要
In this talk, we consider the rigidity and flexibility of C1,θ isometric extensions and we show that the Hölder exponent θ0=1/2 is critical in the following sense: if u∈C1,θ is an isometric extension of a smooth isometric embedding of a codimension one submanifold Σ and θ>1/2, then the tangential connection agrees with the Levi-Civita connection along Σ. On the other hand, for any θ<1/2 we can construct C1,θ isometric extensions via convex integration which violate such property. The talk is based on the work with Dr Dominik Inauen.
