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Rigidity results for complete spacelike submanifolds in plane fronted waves

dc.contributor.authorPalomo, Francisco J.
dc.contributor.authorRomero Sarabia, Alfonso 
dc.date.accessioned2022-10-03T07:13:33Z
dc.date.available2022-10-03T07:13:33Z
dc.date.issued2022-09-08
dc.identifier.citationPalomo, 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.urihttps://hdl.handle.net/10481/77122
dc.description.abstractNew 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.sponsorshipSpanish Government PID2020-118452GBI00 PID2020-116126GB-I00es_ES
dc.description.sponsorshipERDF project P20-01391es_ES
dc.description.sponsorship"Maria de Maeztu" Excellence Unit IMAG - MCIN-AEI CEX2020-001105-Mes_ES
dc.language.isoenges_ES
dc.publisherSpringeres_ES
dc.rightsAtribución 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.subjectExtremal submanifoldes_ES
dc.subjectWeakly trapped submanifoldes_ES
dc.subjectPlane fronted wavees_ES
dc.titleRigidity results for complete spacelike submanifolds in plane fronted waveses_ES
dc.typejournal articlees_ES
dc.rights.accessRightsopen accesses_ES
dc.identifier.doi10.1007/s13398-022-01315-4
dc.type.hasVersionVoRes_ES


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