Product manifolds as realizations of general linear symmetries

DOI10.1142/s0219887822400060zbMath1530.83039arXiv2203.09473OpenAlexW4224323627MaRDI QIDQ6148592

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Publication date: 7 February 2024

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.09473

zbMATH Keywords

symmetrycompactificationorbitseigenvaluesEinstein manifoldsholonomyRicci tensorunitary groupsgauge fieldsgeneral linear groupmultiplicitiesconjugationsimilarity transformationLevi-Civita connectionalgebraic invariantscoset spacestabilizersCarminati-McLenaghan invariantsdiagonalizabletensorspseudo-Riemannianproduct manifoldsKaluza-Klein theoriesnonlinear realizationsspin connectionfactor spacespseudo-orthogonal groups

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Kaluza-Klein and other higher-dimensional theories (83E15) Local submanifolds (53B25) Methods of local Riemannian geometry (53B21) Orthogonal and unitary groups in metric geometry (51F25) Dimensional compactification in quantum field theory (81T33) Diagonalization, Jordan forms (15A20)

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