Trivial Notion

演講者：Geng-Hung Lin (林耿弘)
        (National Taiwan University)
講  題：Aleksandrov-Reilly Theorem in   

時  間：2014年05月12日 (星期一) 2:00 - 3:00

地  點：臺灣大學天數館202室
摘  要：Let  be a compact without boundary, connected hypersurface in  (embedded Riemannian manifold with codimension 1). Question: Can we classify or interpret these all hypersurfaces? This question isn’t easy to answer. But if  has constant mean curvature in  ,  is actually the standard sphere . This result is called Aleksandrov-Reilly's Theorem.

Instead of topological method, this theorem is proved by using tools in analysis, and the main tool is called Reillys formula. This tool is broadly applied to estimate lots of geometric quantities or invariants. In this talk, I will show how to use this inequality to estimate the volume of  and prove Aleksandrov-Reilly's Theorem.

*Students are especially welcome to join the talk.