2026-05-28T20:37:52Zhttps://riuma.uma.es/rest/oai/requestoai:riuma.uma.es:10630/227812026-02-03T11:08:29Zcom_10630_2254col_10630_37953
RIUMA. Repositorio Institucional de la Universidad de Málaga
author
Cánovas, Verónica L.
author
Romero, Alfonso
author
Palomo-Ruiz, Francisco José
2021-09-02T11:17:03Z
2021-09-02T11:17:03Z
2021
https://hdl.handle.net/10630/22781
Several geometric properties of complete spacelike submanifolds, with codimension at least two, in a Brinkmann spacetime are shown from natural assumptions involving the mean curvature vector field $\mcv$ of the spacelike submanifold. Especially, we get sufficient conditions that assure that a spacelike submanifold is contained in a leaf of the foliation of the Brinkmann spacetime defined by the orthogonal vectors to the parallel lightlike vector field. When this vector field is the gradient of a smooth function, a characterization of arbitrary codimension spacelike submanifolds contained in a leaf of this foliation is given. In the case of plane fronted wave spacetimes, relevant examples of Brinkmann spacetimes that generalize pp-waves spacetimes, several uniqueness results for codimension two spacelike submanifolds are obtained. In particular, it is proven that any compact codimension two spacelike submanifold with $\mcv=0$ in a plane fronted spacetime wave must be a (totally geodesic) front of wave.
eng
Matemáticas aplicadas
Geometría
Brinkmann
Mean curvature of spacelike submanifolds in a Brinkmann spacetime
journal article
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URL
https://riuma.uma.es/bitstreams/cc850715-28fc-49ea-a10d-3c093afc0461/download
File
MD5
8180984a48179cd1fc49dee70665d089
305540
application/pdf
CanovasPalomoRomeroR1 final.pdf