Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

 Siegel der Universität Augsburg

 

Oberseminar Differentialgeometrie

 

Herr Shanze Gao
Tsinghua University, Beijing
 
spricht am
 
Montag, 29. Mai 2017
 
um
 
16:00 Uhr
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

»Uniqueness of closed self-similar solutions to σkα-curvature flow.«

Abstract:
By adapting the test functions introduced by Choi-Daskaspoulos and Brendle-Choi-Daskaspoulos and exploring properties of the k-th elementary symmetric function σk intensively, we show that for any fixed k with 1≤ k ≤ n-1, any strictly convex closed hypersurface in Rn+1 satisfying σkα= 〈 X,ν〉, with α≥ 1/k, must be a round sphere. In fact, we prove a uniqueness result for any strictly convex closed hypersurface in Rn+1 satisfying F+C=〈 X,ν〉, where F is a positive homogeneous smooth symmetric function of the principal curvatures and C is a constant.

 

Hierzu ergeht herzliche Einladung.
 

Kaffee, Tee und Gebäck eine halbe Stunde vor Vortragsbeginn im Raum 2006 (L1).


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