On the Stability of f-Maximal Spacelike Hypersurfaces in Weighted Generalized Robertson–Walker Spacetimes

• Autorzy: Lima E. L. de , Lima H. F. de , Santos F. R. dos

Identyfikatory

DOI

10.4064/ba8069-8-2016

• Języki publikacji: EN

Abstrakty

EN

Our purpose in this paper is to study the stability of f-maximal spacelike hypersurfaces immersed in a weighted generalized Robertson–Walker spacetime −I×_ρMⁿ_f, where Mⁿ_f is a weighted Riemannian manifold endowed with a weight function f. In this setting, we obtain sufficient conditions to guarantee that an f-maximal hypersurface be L_f-stable, where L_f stands for the weighted Jacobi operator.

Słowa kluczowe

EN

generalized Robertson-Walker spacetimes; weighted manifolds; f-maximal spacelike hypersurfaces; stable hypersurfaces

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2016
• Tom: Vol. 64, no. 2/3
• Strony: 199--208
• Opis fizyczny: Bibliogr. 14 poz.

Twórcy

autor

Lima E. L. de

• Campus Pau dos Ferros, Universidade Federal Rural do Semi-Árido, 59.900-000 Pau dos Ferros, Rio Grande do Norte, Brazil

autor

Lima H. F. de

• Departamento de Matemática, Universidade Federal de Campina Grande, 58.429-970 Campina Grande, Paraíba, Brazil

autor

Santos F. R. dos

• Departamento de Matemática, Universidade Federal de Campina Grande, 58.429-970 Campina Grande, Paraíba, Brazil

Bibliografia

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• [CLS] M. P. Cavalcante, H. F. de Lima and M. S. Santos, New Calabi-Bernstein type results in weighted generalized Robertson-Walker spacetimes, Acta Math. Hungar. 142 (2015), 440-454.
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Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.