Catalano Ferraioli D., Marvan M. Scalar differential invariants of 2-dimensional Killing foliations (abstract): Difference between revisions
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| title = Scalar differential invariants of 2-dimensional Killing foliations | | 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). | | 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). | ||
| video = https://video.gdeq. | | video = https://video.gdeq.org/AMV-conf-20211216-Diego_Catalano_Ferraioli.mp4 | ||
| slides = [[Media:Catalano_FerraioliAMVconf2021slides.pdf|Catalano_FerraioliAMVconf2021slides.pdf]] | | slides = [[Media:Catalano_FerraioliAMVconf2021slides.pdf|Catalano_FerraioliAMVconf2021slides.pdf]] | ||
| references = {{arXiv|1901.01689}} | | references = {{arXiv|1901.01689}} | ||
Latest revision as of 08:40, 4 January 2025
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).
Video
Slides: Catalano_FerraioliAMVconf2021slides.pdf
References:
arXiv:1901.01689
Event: Diffieties, Cohomological Physics, and Other Animals, 13-17 December 2021, Moscow.
Alexandre Vinogradov Memorial Conference.