The G\'odel Universe as a Lie group with left-invariant Lorentz metric and\newline the Iwasawa decomposition
| Autor: | Berestovskii, V. N. |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We discuss models of the G\"odel Universe as Lie groups with left-invariant Lorentz metric for two simply connected four-dimensional Lie groups, the Iwasawa decomposition for semisimple Lie groups, and left-invariant Lorentz metric on ${\rm SL}(2,\mathbb{R})$, following K.-H.~Neeb. Also we show that the isometry between two non-isomorphic sub-Riemannian Lie group, constructed by A.~Agrachev and D.~Barilari, is induced by some Iwasawa decomposition of ${\rm SL}(2,\mathbb{R})$. Comment: 9 pages |
| Databáze: | arXiv |
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