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arXiv · 2505.13151

Homogeneous pseudo-Riemannian structures of metrics of Kaluza-Klein type on the three-dimensional anti-de Sitter spacetime

Fumihiro Ueno
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Abstract

We classify homogeneous pseudo-Riemannian structures of a three-parameter family of metrics called Kaluza-Klein type on the three-dimensional anti-de Sitter spacetime with their induced groups of isometries and reductive decompositions. We also obtain the classification of homogeneous almost contact and paracontact metric structures of metrics of Kaluza-Klein type on the three-dimensional anti-de Sitter spacetime with their isometry groups and reductive decompositions.

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Fumihiro Ueno. 2025-05-19. Homogeneous pseudo-Riemannian structures of metrics of Kaluza-Klein type on the three-dimensional anti-de Sitter spacetime. https://doi.org/10.1007/s13163-026-00594-4

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