学术报告

Analysis on Area-Minimizing Hypersurfaces in Manifolds

发布时间:2019-03-27  阅读次数:723

题目:Analysis on Area-Minimizing Hypersurfaces in Manifolds  
报告人:丁琪 博士 (复旦大学)
地点:宁静楼 104 室
时间:2019 年 03 月27 日 14:00-15:00
摘要:Let N be an (n+1)-dimensional complete manifold of Ricci curvature≥-n, and B_2 (p) be the geodesic ball in N. Let M be an area-minimizing hypersurface in B_2 (p) with p∈M and ∂M⊆〖∂B〗_2 (p). In this talk, we will discuss the Sobolev and Neumann-Poincare inequalities on M∩B_1 (p). As an application, we get the gradient estimates for the solutions of the minimal hypersurface equation on an n-manifold with Ric≥-(n-1).

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