Characterizations of complete spacelike submanifolds in the $$\mathbf{(n+p)}$$ ( n + p ) -dimensional anti-de Sitter space of index $$\mathbf{q}$$ q-Reference-Cited by-同舟云学术

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Characterizations of complete spacelike submanifolds in the $$\mathbf{(n+p)}$$ ( n + p ) -dimensional anti-de Sitter space of index $$\mathbf{q}$$ q

Published:2016-09-01 Issue:4 Volume:111 Page:921-930
ISSN:1578-7303
Container-title:Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
language:en
Short-container-title:RACSAM

Author:

de Lima Henrique F.,dos Santos Fábio R.,Velásquez Marco Antonio L.

Funder

Conselho Nacional de Desenvolvimento Científico e Tecnológico

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Geometry and Topology,Algebra and Number Theory,Analysis

Link

http://link.springer.com/article/10.1007/s13398-016-0330-2/fulltext.html

Reference37 articles.

1. Aiyama, R.: Compact spacelike m-submanifolds in a pseudo-Riemannian sphere $$\mathbb{S}^{m+p}_{p}(c)$$ S p m + p ( c ) . Tokyo J. Math. 18, 81–90 (1995)

2. Akutagawa, K.: On spacelike hypersurfaces with constant mean curvature in the de Sitter space. Math. Z. 196, 13–19 (1987)

3. Alías, L.J.: A congruence theorem for compact spacelike surfaces in de Sitter space. Tokyo J. Math. 24, 107–112 (2001)

4. Alías, L.J., Romero, A.: Integral formulas for compact spacelike n-submanifolds in de Sitter spaces applications to the parallel mean curvature vector case. Manuscripta Math. 87, 405–416 (1995)

5. Aquino, C.P., de Lima, H.F.: On the umbilicity of complete constant mean curvature spacelike hypersurfaces. Math. Ann. 360, 555–569 (2014)

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1. Gap type results for spacelike submanifolds with parallel mean curvature vector;MATHEMATICA SCANDINAVICA;2022-12-04

2. Stochastically Complete, Parabolic and L1-Liouville Spacelike Submanifolds with Parallel Mean Curvature Vector;Potential Analysis;2022-09-28

3. Complete linear Weingarten spacelike submanifolds immersed in the anti-de Sitter space;Colloquium Mathematicum;2021

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