Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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Homogeneous structures in pseudo-Riemannian manifolds and beyond

Marco Castrillón

created by bazzoni on 18 Mar 2021
modified on 24 May 2021

15 jun 2021 -- 16:00

Geometry in Como - Online

The talk will take place on Microsoft Teams; the link will be posted here on June 14th. Please visit and fill in the form if you'd like to be added to our mailing list.


A celebrated result by Ambrose and Singer characterizes the homogeneity of a pseudo-Riemannian manifold by a set of partial differential equations satisfied by a tensor field, together with some additional conditions of topological nature. We will review the geometric information provided by this homogeneous tensor in different situations, being the so-called linear case the most relevant instance. From that point, we will move to recent result on non-necessarily metric manifolds where we will explore the characterization of homogeneity in other contexts as, for exmaple, the symplectic of Fedosov case.

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