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Veranstaltungskalender

Model spaces in sub-Riemannian geometry

Oberseminar Analysis und Theoretische Physik, 30.05.2017

Beschreibung

For a Riemannian manifold, the model spaces of comparison are the Euclidean space and different scaled versions of the sphere and the hyperbolic space. These spaces are, apart from their dimension, uniquely determined by one invariant; their sectional curvature. These model spaces are also characterised by their large isometry groups.

Following the latter point of view, we consider a similar characterization of sub-Riemannian manifolds with whose isometry groups are `maximal’ in a certain sense. We show that these manifolds have a canonical partial connection, and several other surprising properties. Looking as the cases of step 2 and step 3 sub-Riemannian manifolds, we show that it is not always possible to characterize sub-Riemannian model spaces by one invariant alone.


Weblink http://www.ifam.uni-hannover.de/os_analysis.html
Referent/-innen

Dr. Erlend Grong (Université Paris-Sud)

Veranstalter

Institut für Analysis

Termin 30.05.2017
15:00 Uhr - 17:00 Uhr
Ort Geb.: 1101
Raum: C311
Welfengarten 1
30167 Hannover