Stable compact spacelike hypersurfaces in the de Sitter space as maxima of a linear combination of area and volume
Author:
Funder
Conselho Nacional de Desenvolvimento Científico e Tecnológico
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior
Publisher
Springer Science and Business Media LLC
Subject
General Mathematics
Link
http://link.springer.com/content/pdf/10.1007/s00229-018-1047-7.pdf
Reference18 articles.
1. Aledo, J.A., Alías, L.J., Romero, A.: Integral formulas for compact space-like hypersurfaces in de Sitter space: applications to the case of constant higher order mean curvature. J. Geom. Phys. 31, 195–208 (1999)
2. Alías, L.J., Brasil Jr., A., Colares, A.G.: Integral formulae for spacelike hypersurfaces in conformally stationary spacetimes and applications. Proc. Edinb. Math. Soc. 46, 465–488 (2003)
3. Alías, L.J., Colares, A.G.: Uniqueness of spacelike hypersurfaces with constant higher order mean curvature in generalized Robertson–Walker spacetimes. Math. Proc. Camb. Philos. Soc. 143, 703–729 (2007)
4. Barbosa, J.L.M., do Carmo, M.: Stability of hypersurfaces with constant mean curvature. Math. Z. 185, 339–353 (1984)
5. Barbosa, J.L.M., do Carmo, M., Eschenburg, J.: Stability of hypersurfaces of constant mean curvature in Riemannian manifolds. Math. Z. 197, 123–138 (1988)
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