Rigidity results for complete spacelike submanifolds in plane fronted waves
| dc.contributor.author | Palomo-Ruiz, Francisco José | |
| 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.departamento | Matemática Aplicada | |
| 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.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.doi | https://doi.org/10.1007/s13398-022-01315-4 | |
| dc.identifier.uri | https://hdl.handle.net/10630/24959 | |
| dc.language.iso | eng | es_ES |
| dc.publisher | Springer | es_ES |
| dc.rights | Atribución 4.0 Internacional | * |
| dc.rights.accessRights | open access | 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 | journal article | es_ES |
| dc.type.hasVersion | VoR | es_ES |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 68db6f24-cfc5-4824-b835-0ee68834f271 | |
| relation.isAuthorOfPublication.latestForDiscovery | 68db6f24-cfc5-4824-b835-0ee68834f271 |
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