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.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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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)
- Creator
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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
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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05.11.2025, 7:48 AM CET
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Associated
- López, Enrique
- Dimas, Stylianos
- Bozhkov, Yuri
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Non-invertible symmetries along 4d RG flows
On the Isometry Group of Immortal Homogeneous Ricci Flows
Masking singularities in Weyl gravity and Ricci flows
Super Ricci flows for weighted graphs and Markov chains
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Compactness and partial regularity theory of Ricci flows in higher dimensions
Ricci curvature and gradient flows of the entropy for jump processes
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Propagation of symmetries for Ricci shrinkers
Pluripotential Kähler-Ricci flows
Symmetries and invariants for the 2D-Ricci flow model
Non-invertible symmetries along 4d RG flows
On the Isometry Group of Immortal Homogeneous Ricci Flows
Masking singularities in Weyl gravity and Ricci flows
Super Ricci flows for weighted graphs and Markov chains
Topology-changing horizons at large D as Ricci flows
On flows with spatio-temporal symmetries near heteroclinic networks
Compactness and partial regularity theory of Ricci flows in higher dimensions
Ricci curvature and gradient flows of the entropy for jump processes