L1-2-Type Surfaces in 3-Dimensional De Sitter and Anti De Sitter Spaces

García Martínez, S. Carolina; Lucas Saorín, Pascual; Ramírez Ospina, H. Fabián

Publication:
L1-2-Type Surfaces in 3-Dimensional De Sitter and Anti De Sitter Spaces

dc.contributor.author	García Martínez, S. Carolina
dc.contributor.author	Lucas Saorín, Pascual
dc.contributor.author	Ramírez Ospina, H. Fabián
dc.contributor.department	Matemáticas
dc.date.accessioned	2025-10-06T11:38:26Z
dc.date.available	2025-10-06T11:38:26Z
dc.date.copyright	© 2023, The Author(s)
dc.date.issued	2023-06-01
dc.description.abstract	Let be an orientable surface immersed in the De Sitter space or anti de Sitter space . In the case that is of -2-type we prove that the following conditions are equivalent to each other: has a constant principal curvature; has constant mean curvature; has constant second mean curvature. As a consequence, we also show that an -2-type surface is either an open portion of a standard pseudo-Riemannian product, or a B-scroll over a null curve, or else its mean curvature, its Gaussian curvature and its principal curvatures are all non-constant.
dc.format	application/pdf
dc.format.extent	12
dc.identifier.citation	Bulletin of the Malaysian Mathematical Sciences Society, 2023, Vol. 46 : 139
dc.identifier.doi	https://doi.org/10.1007/s40840-023-01535-w
dc.identifier.eissn	2180-4206
dc.identifier.issn	0126-6705
dc.identifier.uri	http://hdl.handle.net/10201/164730
dc.language	eng
dc.publisher	Springer
dc.relation	This research is part of the grant PID2021-124157NB-I00, funded by MCIN/ AEI/ 10.13039/ 501100011033/ “ERDF A way of making Europe”. Also supported by “Ayudas a proyectos para el desarrollo de investigación científica y técnica por grupos competitivos”, included in the “Programa Regional de Fomento de la Investigación Científica y Técnica (Plan de Actuación 2022)” of the Fundación Séneca-Agencia de Ciencia y Tecnología de la Región de Murcia, Ref. 21899/PI/22.
dc.relation.publisherversion	https://link.springer.com/article/10.1007/s40840-023-01535-w
dc.rights	Attribution 4.0 International
dc.rights.accessRights	info:eu-repo/semantics/openAccess
dc.rights.uri	http://creativecommons.org/licenses/by/4.0/
dc.subject	Anti de sitter space
dc.subject	De sitter space
dc.subject	L1 2 type surface
dc.subject	B scroll
dc.subject	Cheng-Yau operator
dc.subject	Newton transformation
dc.subject.ods	No relacionado con ningún objetivo de desarrollo sostenible
dc.title	L1-2-Type Surfaces in 3-Dimensional De Sitter and Anti De Sitter Spaces
dc.type	info:eu-repo/semantics/article
dspace.entity.type	Publication	es
relation.isAuthorOfPublication	e7ed6d00-8b40-4f60-9bd6-36df74ccba78
relation.isAuthorOfPublication.latestForDiscovery	e7ed6d00-8b40-4f60-9bd6-36df74ccba78