Geometric Analysis Seminar——Analysis on area-minimizing hypersurfaces in manifolds
报告人：Qi Ding (Fudan University)
地点：Room 1304, Sciences Building No. 1
Abstract: Let N be an (n+ 1)-dimensional complete manifold of Ricci curvature ≥ −n, and B2(p) be the
geodesic ball in N. Let M be an area-minimizing hypersurface in B2(p) with p ∈ M and ∂M ⊂ ∂B2(p). In this
talk, we will discuss the Sobolev and Neumann Poincar´e inequalities on M ∩ B1(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).