Mean Curvature Flow with Dirichlet Boundary Conditions in Riemannian Manifolds with Symmetries

摘要

Consider a hypermanifold M 0 of a Riemannian manifold N whose Riccicurvature is bounded from below. If M 0 is transversal to a conformalvector field on N, then conditions are given, such that the meancurvature evolution of M 0 with Dirichlet boundary conditions has asolution for all times.