Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

 Siegel der Universität Augsburg

 

Oberseminar Differentialgeometrie

 

Masahiro Morimoto
Department of Mathematics, Osaka City University, Japan
 
spricht am
 
Dienstag, 10. September 2019
 
um
 
10 Uhr s.t.
 
im
 
Raum 1007 (L1)
 
über das Thema:
 

»On weakly reflective PF submanifolds in Hilbert spaces«

Abstract:
A weakly reflective submanifold is a minimal submanifold of a Riemannian manifold which has a certain symmetry at each point. In my talk I will introduce this notion into a class of proper Fredholm (PF) submanifolds in Hilbert spaces and show that there exist so many infinite dimensional weakly reflective PF submanifolds in Hilbert spaces. In particular each fiber of the parallel transport map is shown to be weakly reflective. These imply that in infinite dimensional Hilbert spaces there exist so many homogeneous minimal submanifolds which are not totally geodesic, unlike in the finite dimensional Euclidean case.

 

Hierzu ergeht herzliche Einladung.


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