Article
Rotational elliptic Weingarten surfaces in S2 × R and the Hopf problem
Author/s | Fernández Delgado, Isabel |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada I |
Publication Date | 2023-10-15 |
Deposit Date | 2024-01-24 |
Published in |
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Abstract | 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 ... 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. |
Funding agencies | Ministerio de Ciencia e Innovación (MICIN). España |
Project ID. | PID2020-118137GB-I00 |
Citation | Fernández Delgado, I. (2023). Rotational elliptic Weingarten surfaces in S2 × R and the Hopf problem. Journal of Mathematical Analysis and Applications, 562 (2). https://doi.org/10.1016/j.jmaa.2023.127268. |
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