On the Gaussian curvature of maximal surfaces in n-dimensional generalized Robertson-Walker spacetimes

Classical and Quantum Gravity

Volumn 13, Issue 12, 1996, Pages 3211-3219

  Alías, Luis J ^a   Estudillo, Francisco J M ^b   Romero, Alfonso ^c  

^a UNIVERSITY OF MURCIA   (Spain)

^b UNIVERSITY OF CÓRDOBA   (Spain)

^c UNIVERSITY OF GRANADA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0007395699     PISSN: 02649381     EISSN: None     Source Type: Journal    
DOI: 10.1088/0264-9381/13/12/011     Document Type: Article

References (10)

1. Alías L J and Palmer B 1995 Curvature properties of zero mean curvature surfaces in four-dimensional Lorentzian space forms Preprint
2. Alías L J and Romero A 1995 An integral inequality for compact maximal surfaces in n-dimensional de Sitter space and its applications Ann. Global Anal. Geom. 13 3-8 (erratum 13 393)
3. Alías L J, Romero A and Sánchez M 1995 Uniqueness of complete spacelike hypersurfaces of constant mean curvature in generalized Robertson-Walker spacetimes Gen. Rel. Grav. 27 71-84
4. Besse A L 1987 Einstein Manifolds (Ergebnisse der Mathematik und ihrer Grenzgebiete, 3.Folge Band 10) (Berlin: Springer)
5. Chern S S 1969 Simple proofs of two theorems on minimal surfaces L'Enseign. Math. 15 53-61
6. Choquet-Bruhat Y 1975 Quelques propriétés des sous-variétés maximales d'une variété lorentzienne C. R. Acad. Sci. Paris A 281 577-80
7. _1976 Maximal submanifolds and submanifolds with constant mean extrinsic curvature of a Lorentzian manifold Ann. Scuola Norm. Sup. Pisa 3 361-76
8. Estudillo F J M and Romero A 1991 On maximal surfaces in the n-dimensional Lorentz-Minkowski space Geom. Dedicata 38 167-74
9. Marsden J E and Tipler F J 1980 Maximal hypersurfaces and foliations of constant mean curvature in general relativity Phys. Rep. 66 109-39
10. O'Neill B 1983 Semi-Riemannian Geometry with Applications to Relativity (New York: Academic)