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Geometry & Topology Seminar

Complete Riemannian Manifolds and Sobolev Type Inequalities

  • 演讲者:夏昌玉(巴西利亚大学)

  • 时间:2021-03-18 10:00-11:00

  • 地点:慧园3栋415

Abstract

Understanding the structure of Riemannian manifolds is an important issue in differential geometry.  Many interesting results about  relations between curvature and  topology of manifolds have appeared during the past years. In this talk, we'll introduce some results about complete open manifolds supporting a Sobolev type  inequality. We'll see that complete open manifolds with nonnegative Ricci curvature on which some Sobolev type inequality holds are not very far from the Euclidean space and that Hadamard manifolds support many important inequalities.