On the signature of the Ricci curvature on nilmanifolds

Abstract: In this talk I will present a joint work with Ramiro Lafuente (The University of Queensland) in which we completely describe all possible signatures for the Ricci curvature of left-invariant metrics on nilmanifolds. To do that, we use ideas from GIT to construct a metric whose Ricci curvature has a signature with as many zeros as possible, and then we apply an Implicit Function Theorem argument.

differential geometry

Audience: researchers in the topic

Differential Geometry Seminar Torino

Series comments: This is a hybrid seminar organized by the Differential Geometry groups of Università and Politecnico di Torino.

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