The Go¨del universe as a Lie group with left-invariant Lorentz metric and the Iwasawa decomposition Full article
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Вестник Омского университета
ISSN: 1812-3996 |
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| Output data | Year: 2024, Volume: 29, Number: 3, Pages: 4-13 Pages count : 10 DOI: 10.24147/1812-3996.2024.3.4-13 | ||
| Tags | go¨del universe, iwasawa decomposition, left-invariant lorentz metric, left-invariant sub-riemannian metric, lie algebra, lie group | ||
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0006 |
Abstract:
We discuss models of the Go¨del Universe as Lie groups with leftinvariant Lorentz metric for two simply connected four-dimensional Lie groups, the Iwasawa decomposition for semisimple Lie groups, and left-invariant Lorentz metric on (2, R), following K.-H. Neeb. Also we show that the isometry between two non-isomorphic sub-Riemannian Lie group, constructed by A. Agrachev and D. Bar- ilari, is induced by some Iwasawa decomposition of SL(2, R).
Cite:
Berestovskii V.N.
The Go¨del universe as a Lie group with left-invariant Lorentz metric and the Iwasawa decomposition
Вестник Омского университета. 2024. V.29. N3. P.4-13. DOI: 10.24147/1812-3996.2024.3.4-13 РИНЦ OpenAlex
The Go¨del universe as a Lie group with left-invariant Lorentz metric and the Iwasawa decomposition
Вестник Омского университета. 2024. V.29. N3. P.4-13. DOI: 10.24147/1812-3996.2024.3.4-13 РИНЦ OpenAlex
Dates:
| Submitted: | Aug 15, 2023 |
| Published print: | Nov 6, 2024 |
| Published online: | Nov 6, 2024 |
Identifiers:
| Elibrary: | 74284208 |
| OpenAlex: | W4404373343 |
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