Alexandrov spaces of relatively maximal volume
Speaker(s): Prof. Xiaochun Rong (Rutgers University)
Time: 00:00-00:00 May 17, 2010
Venue: 资源大厦1328教室
<p>题目:Alexandrov spaces of relatively maximal volume</p>
<p>报告人: Prof. Xiaochun Rong (Rutgers University)</p>
<p>时间:5月17日(周一) 下午 14:00-15:00</p>
<p>地点:资源大厦1328教室</p>
<p>摘要: The radius of a metric space $X$ is the smallest radius of a metric ball that covers $X$. As in the Riemannian case, the volume of an $n$-dimensional Alexandrov space $A$ with curvature $ge kappa$ and radius $le r$ is bounded above by the volume of an $r$-ball in the $n$-dimensional space form of constant curvature $kappa$. In 1992, Grove-Petersen classified the compact Alexandrov spaces whose volume achieves the maximal value, while almost all compact Riemannian manifolds are excluded. In this talk, we will report a resent work that extends the classification to compact Alexandrov spaces whose volume are maximal when restricting to the Alexandrov spaces such that space of directions at the center of an $r$-ball are the same. This is a joint work with Nan Li.</p>
<p>欢迎有兴趣的老师和同学们参加</p>
<p>PS:茶点时间为15:00-15:30</p>