Rotational elliptic Weingarten surfaces in S2 × R and the Hopf  problem

Fernández Delgado, Isabel

doi:10.1016/j.jmaa.2023.127268

Artículo

dc.creator	Fernández Delgado, Isabel	es
dc.date.accessioned	2024-01-24T08:39:44Z
dc.date.available	2024-01-24T08:39:44Z
dc.date.issued	2023-10-15
dc.identifier.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.
dc.identifier.issn	0022-247X	es
dc.identifier.issn	1096-0813 (online)	es
dc.identifier.uri	https://hdl.handle.net/11441/153890
dc.description.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 elliptic Weingarten surfaces in S2 × R have bounded second fundamental form together with a Hopf type result by J. A. Gálvez and P. Mira.	es
dc.description.sponsorship	Ministerio de Ciencia e Innovación PID2020-118137GB-I00	es
dc.format	application/pdf	es
dc.format.extent	10	es
dc.language.iso	eng	es
dc.publisher	ScienceDirect	es
dc.relation.ispartof	Journal of Mathematical Analysis and Applications, 562 (2).
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.subject	Weingarten surfaces	es
dc.subject	Phase space analysis	es
dc.subject	Rotational surfaces	es
dc.subject	Hopf theorem	es
dc.subject	Product spaces	es
dc.subject	Homogeneous spaces	es
dc.title	Rotational elliptic Weingarten surfaces in S2 × R and the Hopf problem	es
dc.type	info:eu-repo/semantics/article	es
dc.type.version	info:eu-repo/semantics/publishedVersion	es
dc.rights.accessRights	info:eu-repo/semantics/openAccess	es
dc.contributor.affiliation	Universidad de Sevilla. Departamento de Matemática Aplicada I	es
dc.relation.projectID	PID2020-118137GB-I00	es
dc.relation.publisherversion	https://www.sciencedirect.com/science/article/pii/S0022247X23002718?via%3Dihub	es
dc.identifier.doi	10.1016/j.jmaa.2023.127268	es
dc.journaltitle	Journal of Mathematical Analysis and Applications	es
dc.publication.volumen	562	es
dc.publication.issue	2	es
dc.contributor.funder	Ministerio de Ciencia e Innovación (MICIN). España	es

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