17 oct 2018 -- 11:00
Dipartimento di Matematica e Applicazioni dell'Università di Milano Bicocca, in
Abstract.
A pseudo-Riemannian manifold is called a solvmanifold (resp. nilmanifold) if it admits a simple and transitive action of a solvable (resp. nilpotent) Lie group by isometries. When the metric is positive definite, i.e. Riemannian, the structure of the isometry group of solvmanifolds has been studied by of C. Gordon, A. Kaplan, E. Wilson and J. olf and is quite well known. In the strict pseudo-Riemannian setting, these results may fail. In this talk we will introduce the main differences between these two cases and describe general results about the structure of the isometry groups of nilmanifolds when the metric is not positive definite.
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