Rigidity results for complete spacelike submanifolds in plane fronted waves

Palomo-Ruiz, Francisco Jose; Pelegrín, José A. S.; Romero, Alfonso

doi:https://doi.org/10.1007/s13398-022-01315-4

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dc.contributor.author	Palomo-Ruiz, Francisco Jose
dc.contributor.author	Pelegrín, José A. S.
dc.contributor.author	Romero, Alfonso
dc.date.accessioned	2022-09-12T12:24:30Z
dc.date.available	2022-09-12T12:24:30Z
dc.date.issued	2022-09-08
dc.identifier.citation	Palomo, F.J., Pelegrín, J.A.S. & Romero, A. Rigidity results for complete spacelike submanifolds in plane fronted waves. Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat. 116, 179 (2022). https://doi.org/10.1007/s13398-022-01315-4	es_ES
dc.identifier.uri	https://hdl.handle.net/10630/24959
dc.description.abstract	New rigidity results for complete non-compact spacelike submanifolds of arbitrary codimension in plane fronted waves are obtained. Under appropriate assumptions, we prove that a complete spacelike submanifold in these spacetimes is contained in a characteristic lightlike hypersurface. Moreover, for a complete codimension two extremal submanifold in a plane fronted wave we show sufficient conditions to guarantee that it is a (totally geodesic) wavefront.	es_ES
dc.description.sponsorship	Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature. Funding for open access charge: Universidad de Málaga / CBUA	es_ES
dc.language.iso	eng	es_ES
dc.publisher	Springer	es_ES
dc.rights	info:eu-repo/semantics/openAccess	es_ES
dc.rights.uri	http://creativecommons.org/licenses/by/4.0/	*
dc.subject	Subvariedades	es_ES
dc.subject.other	Extremal submanifold	es_ES
dc.subject.other	Weakly trapped submanifold	es_ES
dc.subject.other	Plane fronted wave	es_ES
dc.title	Rigidity results for complete spacelike submanifolds in plane fronted waves	es_ES
dc.type	info:eu-repo/semantics/article	es_ES
dc.identifier.doi	https://doi.org/10.1007/s13398-022-01315-4
dc.rights.cc	Atribución 4.0 Internacional	*
dc.type.hasVersion	info:eu-repo/semantics/publishedVersion	es_ES

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