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学术信息
SEMINARS
Alexandrov Geometry and Applications
时间  Datetime
2018-10-15 10:00 — 12:00 
地点  Venue
Middle Lecture Room
报告人  Speaker
Fernando Galaz-Garcia
单位  Affiliation
Karlsruhe Institute of Technology
邀请人  Host
yihu yang
报告摘要  Abstract

Alexandrov spaces (with curvature bounded below) are metric generalizations of complete Riemannian manifolds with a uniform lower sectional curvature bound. They appear naturally in Riemannian metric, for example, as orbit spaces of isometric actions on compact Riemannian manifolds or as Gromov-Hausdorff limits of sequences of compact Riemannian n-manifolds with sectional curvature uniformly bounded below. In addition to their intrinsic intereset, Alexandrov spaces play an important role in global Riemannian geometry. In this lecture series I will cover the basics of Alexandrov geometry and present some of its applications to Riemannian geometry.