2026-05-28T20:37:59Zhttps://riuma.uma.es/rest/oai/request

oai:riuma.uma.es:10630/249592026-02-03T11:22:37Zcom_10630_2254col_10630_37953

Rigidity results for complete spacelike submanifolds in plane fronted waves Palomo-Ruiz, Francisco José Pelegrín, José A. S. Romero, Alfonso Subvariedades 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. 2022-09-12T12:24:30Z 2022-09-12T12:24:30Z 2022-09-12T12:24:30Z 2022-09-08 journal article 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 https://hdl.handle.net/10630/24959 https://doi.org/10.1007/s13398-022-01315-4 eng http://creativecommons.org/licenses/by/4.0/ open access Atribución 4.0 Internacional Springer