@misc{10481/77122, year = {2022}, month = {9}, url = {https://hdl.handle.net/10481/77122}, 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.}, organization = {Spanish Government PID2020-118452GBI00 PID2020-116126GB-I00}, organization = {ERDF project P20-01391}, organization = {"Maria de Maeztu" Excellence Unit IMAG - MCIN-AEI CEX2020-001105-M}, publisher = {Springer}, keywords = {Extremal submanifold}, keywords = {Weakly trapped submanifold}, keywords = {Plane fronted wave}, title = {Rigidity results for complete spacelike submanifolds in plane fronted waves}, doi = {10.1007/s13398-022-01315-4}, author = {Palomo, Francisco J. and Romero Sarabia, Alfonso}, }