Oberseminar Differentialgeometrie: Fernando Galaz-Garcia (KIT): On quotients of spaces with Ricci curvature bounded below

Monday, 14.10.2019 16:15 im Raum SR4
Mathematik und Informatik

Abstract: Let M be a Riemannian manifold and let G be a compact Lie group acting on M effectively and by isometries. It is well known that a lower bound of the sectional curvature of M is again a bound for the curvature of the quotient space of the action, which is an Alexandrov space of curvature bounded below. Moreover, the analogous stability property holds for metric foliations and submersions. Although this does not hold for Ricci curvature, a corresponding stability property does hold for synthetic Ricci curvature lower bounds. Specifically, for quotients of RCD*(K,N)-spaces under isomorphic compact group actions and, more generally, under metric-measure foliations and submetries. In this talk I will discuss the proof of this result as well as some geometric applications. This is joint work with Martin Kell, Andrea Mondino and Gerardo Sosa.

Angelegt am Tuesday, 27.08.2019 09:00 von shupp_01
Geändert am Wednesday, 11.09.2019 09:54 von shupp_01
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