Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

 Siegel der Universität Augsburg

 

Oberseminar Differentialgeometrie

 

Dr. Masahiro Morimoto
Tokyo Metropolitan University
 
spricht am
 
Mittwoch, 16. Juli 2025
 
um
 
15:45 Uhr
 
im
 
Raum 3008 (L1)
 
über das Thema:
 

»The parallel transport map over affine symmetric space«

Abstract:
Abstract: In the 1990s, C.-L. Terng and G. Thorbergsson studied a natural Riemannian submersion from an infinite dimensional Hilbert space onto a compact Riemannian symmetric space G/K. This map is called the parallel transport map over G/K. Afterward, N. Koike extended their theory to the case that G/K is a Riemannian symmetric space of non-compact type. In this talk, I will explain my research on the extension of those theories in the framework of affine differential geometry. In particular, the parallel transport map over an affine symmetric space is defined and shown to be an affine submersion with horizontal distribution. Its relation to weakly reflective submanifolds in symmetric spaces will also be discussed.

 

Hierzu ergeht herzliche Einladung.


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