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Oberseminar Differentialgeometrie: Guofang Wang, Freiburg, Vortrag: A new Minkowsky formula for free boundary hypersurfaces

Montag, 26.11.2018 16:15 im Raum SR4
Mathematik und Informatik

Abstract: In the first part of the talk we introduce a new Minkowski formula for free boundary hypersurfaces. Using this formula we solve the stability problem for free boundary CMC hypersurfaces, which is a longstanding open problem. Moreover we use it to establish various geometric inequalities, from which we give a proof of Alexandrov type theorem. In the second part by using this Minkowski formula we introduce two classes of curvature flows for free boundary hypersurfaces, following the ideas of Guan-Li. With these flows we solve various isoperimetric problems for free boundary hypersurfaces. More important, we found suitable geometric quantities, which may be viewed as quermassintegrals for free boundary hypersurfaces. This talk is based on the joint work with Julian Scheuer (Freiburg) and Chao Xiao (Xiamen)



Angelegt am Mittwoch, 11.07.2018 13:22 von shupp_01
Geändert am Dienstag, 16.10.2018 09:50 von shupp_01
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