Topics in Geometric Analysis
课程摘要：I will give introduction to the theory of minimal surfaces in Riemanian geometry. We will start with the first and second variation formula of the area functional . Then we discuss minimal surfaces in Euclidean space and the sphere. Afterward we will focus on stable minimal hypersurfaces in Riemannian manifolds. If time permits, we will also talk about the Plateau problem, geometric applications of minimal surfaces and some other related topics. As a prerequisite students should have some basic knowledge of Riemannian geometry.