Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

 Siegel der Universität Augsburg

 

Oberseminar Differentialgeometrie

 

Professor Alessandro Portaluri
Universität Turin
 
spricht am
 
Montag, 28. Mai 2018
 
um
 
16:00 Uhr
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

»Index and stability of closed (semi-)Riemannian geodesics«

Abstract:
A celebrated result due to Poincaré asserts that a closed minimizing geodesic on an oriented surface is linearly unstable when considered an orbit of the co-geodesic flow. In this talk, starting from this classical theorem, we discuss some recently new results on the instability and hyperbolicity of closed (maybe not minimizing) geodesics of any causal character on higher dimensional (even not oriented) semi-Riemannian manifolds. Dropping the non-positivity assumption of the metric tensor is a quite challenging task since the Morse index is truly infinite. This is a joint work with Xijun Hu and Ran Yang.

 

Hierzu ergeht herzliche Einladung.
Urs Frauenfelder
 

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


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