Rigidity results for complete spacelike submanifolds in plane fronted waves
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Fecha
2022-09-08 -
Editorial/Editor
Springer -
Palabras clave
Subvariedades -
Resumen
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. -