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