Nonexistence of mean curvature flow solitons with polynomial volume growth immersed in certain semi-Riemannian warped products
Abstract: Our purpose is to establish nonexistence results concerning complete noncompact mean curvature flow solitons with polynomial volume growth immersed in certain semi-Riemannian warped products, under mild constraints on the warping and soliton functions. Applications to self-shrinkers in the Euclidean space, as well as to mean curvature flow solitons in other important warped product models such as the Schwarzschild and Reissner-Nordström spaces, and Robertson-Walker spacetimes such as the Einstein-de Sitter spacetime, are also given. Furthermore, we study the nonexistence of entire solutions to the mean curvature flow equation. Our approach is based on a suitable conformal change of metric jointly with a maximum principle for complete noncompact Riemannian manifolds with polynomial volume growth due to Alías et al.
- 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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Nonexistence of mean curvature flow solitons with polynomial volume growth immersed in certain semi-Riemannian warped products ; volume:13 ; number:1 ; year:2024 ; extent:14
Advances in nonlinear analysis ; 13, Heft 1 (2024) (gesamt 14)
- Creator
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Batista, Márcio
Molica Bisci, Giovanni
de Lima, Henrique F.
Gomes, Wallace F.
- DOI
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10.1515/anona-2024-0034
- URN
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urn:nbn:de:101:1-2410151537273.203188828735
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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15.08.2025, 7:21 AM CEST
Data provider
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Associated
- Batista, Márcio
- Molica Bisci, Giovanni
- de Lima, Henrique F.
- Gomes, Wallace F.
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