Catalano Ferraioli D., Marvan M. Scalar differential invariants of 2-dimensional Killing foliations (abstract)

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Speaker: Diego Catalano Ferraioli

Title: Scalar differential invariants of 2-dimensional Killing foliations

Abstract:
We will present a fundamental system of scalar differential invariants of 4-dimensional semi-Riemannian metrics, which admits a 2-dimensional Abelian Killing algebra with non-null Killing leaves. We show how these invariants can be used to solve the local equivalence problem for metrics of the considered type, and discuss possible applications to the search of new solutions of Einstein equations. This is a joint work with Michal Marvan (Silesian University of Opava, Czech Republic).

References:
arXiv:1901.01689

Event: Diffieties, Cohomological Physics, and Other Animals, 13-17 December 2021, Moscow.
Alexandre Vinogradov Memorial Conference.