Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg

 

Oberseminar Differentialgeometrie

 

Dr. David González Álvaro
Université de Fribourg

 
spricht am
 
Montag, 23. April 2018
 
um
 
16:00 Uhr
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

»Open manifolds with non-homeomorphic positively curved souls. «

Abstract:
As Cheeger and Gromoll showed, an open manifold with a metric of non-negative sectional curvature is diffeomorphic to the normal bundle of certain totally convex closed submanifold, called the soul. It is possible to construct open manifolds with two or more such metrics whose souls are "different": we will review previous examples and we will construct open manifolds with non-homeomorphic positively curved souls. To do that we will study some properties of Eschenburg spaces, an infinite family of positively curved manifolds.

 

Hierzu ergeht herzliche Einladung.
Prof. Dr. Bernhard Hanke
 

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



wwwadm@Math.Uni-Augsburg.DE,    Fr 23-Mär-2018 13:00:02 MEZ