Connections compatible with tensors. A characterization of left-invariant Levi--Civita connections in Lie groups

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dc.creatorPiccione, Paolo
dc.creatorTausk, Daniel V.
dc.date2005-09-28
dc.date.accessioned2026-07-07T06:19:41Z
dc.date.available2026-07-07T06:19:41Z
dc.descriptionSymmetric connections that are compatible with semi-Riemannian metrics can be characterized using an existence result for an integral leaf of a (possibly non integrable) distribution. In this paper we give necessary and sufficient conditions for a left-invariant connection on a Lie group to be the Levi-Civita connection of some semi-Riemannian metric on the group. As a special case, we will consider constant connections in $\R^n$.
dc.descriptionArticle for the Proceedings of the EGEO2005, Cordoba, Argentina. LaTeX2e, amsart, 9 pages, no figures
dc.identifierhttps://arxiv.org/abs/math/0509656
dc.identifierhttp://arxiv.org/abs/math/0509656
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95109
dc.subjectDifferential Geometry
dc.titleConnections compatible with tensors. A characterization of left-invariant Levi--Civita connections in Lie groups
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