Spacelike Hypersurfaces Immersed in Weighted Standard Static Spacetimes: Uniqueness, Nonexistence and Stability
Author:
Funder
Conselho Nacional de Desenvolvimento Científico e Tecnológico
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Mathematics (miscellaneous)
Link
https://link.springer.com/content/pdf/10.1007/s00025-020-01200-9.pdf
Reference43 articles.
1. Albujer, A., de Lima, H.F., Oliveira, A., Velásquez, M.: Rigidity of complete spacelike hypersurfaces in spatially weighted generalized Robertson–Walker spacetimes. Differ. Geom. Appl. 50, 140–154 (2017)
2. Aledo, A., Romero, A., Rubio, R.: The existence and uniqueness of standard static splitting. Classical Quant. Grav. 32, 105004 (2015)
3. Alías, L.J., Romero, A., Sánchez, M.: Uniqueness of complete spacelike hypersurfaces of constant mean curvature in generalized Robertson–Walker spacetlmes. Gen. Relat. Grav. 27, 71–84 (1995)
4. Barbosa, J., do Carmo, M.: Stability of hypersurfaces with constant mean curvature. Math. Z. 185, 339–353 (1984)
5. Barbosa, J., do Carmo, M., Eschenburg, J.: Stability of hypersurfaces with constant mean curvature in Riemannian manifolds. Math. Z. 197, 123–138 (1988)
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