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

[2505.13151] Homogeneous pseudo-Riemannian structures of metrics of Kaluza-Klein type on the three-dimensional anti-de Sitter spacetime Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search Mathematics > Differential Geometry arXiv:2505.13151 (math) [Submitted on 19 May 2025 ( v1 ), last revised 23 Feb 2026 (this version, v3)] Title: Homogeneous pseudo-Riemannian structures of metrics of Kaluza-Klein type on the three-dimensional anti-de Sitter spacetime Authors: Fumihiro Ueno View a PDF of the paper titled Homogeneous pseudo-Riemannian structures of metrics of Kaluza-Klein type on the three-dimensional anti-de Sitter spacetime, by Fumihiro Ueno View PDF HTML (experimental) 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. Comments: 36 pages. v3: Minor revision. The erroneous existence statement corrected in v2 (Theorem 4.6 and Theorem 5.3; Theorem 5.4 in v2) remains corrected. Lemma 5.2 has been removed as unnecessary, and the numbering has been updated accordingly. Main results unchanged Subjects: Differential Geometry (math.DG) MSC classes: 53C30 (primary), 53C35 (secondary) Cite as: arXiv:2505.13151 [math.DG] (or arXiv:2505.13151v3 [math.DG] for this version) https://doi.org/10.48550/arXiv.2505.13151 Focus to learn more arXiv-issued DOI via DataCite Related DOI : https://doi.org/10.1007/s13163-026-00594-4 Focus to learn more DOI(s) linking to related resources Submission history From: Fumihiro Ueno [ view email ] [v1] Mon, 19 May 2025 14:13:01 UTC (40 KB) [v2] Sat, 3 Jan 2026 08:07:24 UTC (44 KB) [v3] Mon, 23 Feb 2026 01:15:40 UTC (39 KB) Full-text links: Access Paper: View a PDF of the paper titled Homogeneous pseudo-Riemannian structures of metrics of Kaluza-Klein type on the three-dimensional anti-de Sitter spacetime, by Fumihiro Ueno View PDF HTML (experimental) TeX Source view license Current browse context: math.DG < prev | next > new | recent | 2025-05 Change to browse by: math References & Citations NASA ADS Google Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer ( What is the Explorer? ) Connected Papers Toggle Connected Papers ( What is Connected Papers? ) Litmaps Toggle Litmaps ( What is Litmaps? ) scite.ai Toggle scite Smart Citations ( What are Smart Citations? ) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv ( What is alphaXiv? ) Links to Code Toggle CatalyzeX Code Finder for Papers ( What is CatalyzeX? ) DagsHub Toggle DagsHub ( What is DagsHub? ) GotitPub Toggle Gotit.pub ( What is GotitPub? ) Huggingface Toggle Hugging Face ( What is Huggingface? ) ScienceCast Toggle ScienceCast ( What is ScienceCast? ) Demos Demos Replicate Toggle Replicate ( What is Replicate? ) Spaces Toggle Hugging Face Spaces ( What is Spaces? ) Spaces Toggle TXYZ.AI ( What is TXYZ.AI? ) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower ( What are Influence Flowers? ) Core recommender toggle CORE Recommender ( What is CORE? ) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs . Which authors of this paper are endorsers? | Disable MathJax ( What is MathJax? ) We gratefully acknowledge support from our major funders , member institutions , , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab) Major funding support from

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