Sandra Huppert

Oberseminar Differentialgeometrie: Stephan Stadler (MPI Bonn), Vortrag: Rigidity of ideal symmetric sets

Monday, 22.04.2024 16:00 im Raum SRZ 214

Mathematik und Informatik

Abstract: A subset in the ideal boundary of a CAT(0) space is called symmetric if every complete geodesic with one ideal boundary point in the set has both ideal boundary points in the set. In the late 80s Eberlein proved that if a Hadamard manifold contains a non-trivial closed symmetric subset in its ideal boundary, then its holonomy group cannot act transitively. This leads to rigidty via the Berger-Simons Theorem. I will discuss rigidity of ideal symmetric sets in the general context of locally compact geodesically complete CAT(0) spaces.

Angelegt am Thursday, 07.03.2024 10:41 von Sandra Huppert
Geändert am Monday, 25.03.2024 07:57 von Sandra Huppert
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