Rotational elliptic Weingarten surfaces in S2 × R and the Hopf problem
We prove that, up to congruence, there exists only one immersed sphere satisfying a given uniformly elliptic Weingarten equation in S2 × R, and it is a rotational surface. This is obtained by showing that rotational uniformly elliptic Weingarten surfaces in S2 × R have bounded second fundamental for...
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2023 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/153890 |
| Acceso en línea: | https://hdl.handle.net/11441/153890 https://doi.org/10.1016/j.jmaa.2023.127268 |
| Access Level: | acceso abierto |
| Palabra clave: | Weingarten surfaces Phase space analysis Rotational surfaces Hopf theorem Product spaces Homogeneous spaces |
| Sumario: | We prove that, up to congruence, there exists only one immersed sphere satisfying a given uniformly elliptic Weingarten equation in S2 × R, and it is a rotational surface. This is obtained by showing that rotational uniformly elliptic Weingarten surfaces in S2 × R have bounded second fundamental form together with a Hopf type result by J. A. Gálvez and P. Mira. |
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