Symmetries of Ricci flows
Abstract: In the present work, we find the Lie point symmetries of the Ricci flow on an n-dimensional manifold, and we introduce a method in order to reutilize these symmetries to obtain the Lie point symmetries of particular metrics. We apply this method to retrieve the Lie point symmetries of the Einstein equations (seen as a “static” Ricci flow) and of some particular types of metrics of interest, such as, on warped products of manifolds. Finally, we use the symmetries found to obtain invariant solutions of the Ricci flow for the particular families of metrics considered.
- Standort
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Deutsche Nationalbibliothek Frankfurt am Main
- Umfang
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Online-Ressource
- Sprache
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Englisch
- Erschienen in
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Symmetries of Ricci flows ; volume:12 ; number:1 ; year:2023 ; extent:28
Advances in nonlinear analysis ; 12, Heft 1 (2023) (gesamt 28)
- Urheber
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López, Enrique
Dimas, Stylianos
Bozhkov, Yuri
- DOI
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10.1515/anona-2023-0106
- URN
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urn:nbn:de:101:1-2023100514145021629557
- Rechteinformation
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Letzte Aktualisierung
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14.08.2025, 10:59 MESZ
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Beteiligte
- López, Enrique
- Dimas, Stylianos
- Bozhkov, Yuri
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