Oberseminar Differentialgeometrie: Guofang Wang, Freiburg, Vortrag: A new Minkowsky formula for free boundary hypersurfaces
Monday, 26.11.2018 16:15 im Raum SR4
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 11.07.2018 von Sandra Huppert
Geändert am 16.10.2018 von Sandra Huppert
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