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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