RT Journal Article
T1 Rigidity results for complete spacelike submanifolds in plane fronted waves
A1 Palomo-Ruiz, Francisco José
A1 Pelegrín, José A. S.
A1 Romero, Alfonso
K1 Subvariedades
AB 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.
PB Springer
YR 2022
FD 2022-09-08
LK https://hdl.handle.net/10630/24959
UL https://hdl.handle.net/10630/24959
LA eng
NO 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
NO Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature. Funding for open access charge: Universidad de Málaga / CBUA
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 20 ene 2026