On the linear Weingarten spacelike submanifolds immersed in a locally symmetric semi-Riemannian space-Reference-Cited by-同舟云学术

On the linear Weingarten spacelike submanifolds immersed in a locally symmetric semi-Riemannian space

Published:2019-10-25 Issue:2 Volume:61 Page:267-282
ISSN:0138-4821
Container-title:Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry
language:en
Short-container-title:Beitr Algebra Geom

Author:

Araújo Jogli G.,Barboza Weiller F. C.,de Lima Henrique F.^ORCID,Velásquez Marco Antonio L.

Funder

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

Conselho Nacional de Desenvolvimento Científico e Tecnológico

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology,Algebra and Number Theory

Link

http://link.springer.com/content/pdf/10.1007/s13366-019-00469-4.pdf

Reference18 articles.

1. Araújo, J.G., de Lima, H.F., Velásquez, M.A.L., Santos, F.R.D., et al.: Characterizations of complete linear Weingarten spacelike submanifolds in a locally symmetric semi-Riemannian manifold. Extr. Math. 32, 55–81 (2017)

2. Baek, J.O., Cheng, Q.M., Suh, Y.J.: Complete spacelike hypersurface in locally symmetric Lorentz spaces. J. Geom. Phys. 49, 231–247 (2004)

3. Calabi, E.: Examples of Bernstein problems for some nonlinear equations. Proc. Sympos. Pure Math. 15, 223–230 (1970)

4. Cheng, Q.M.: Complete spacelike hypersurface of a de Sitter space with $$r=\kappa H$$. Mem. Fac. Sci. Kyushu Univ. 44, 67–77 (1990)

5. Cheng, S.Y., Yau, S.T.: Maximal spacelike hypersurfaces in the Lorentz–Minkowski space. Ann. Math. 104, 407–419 (1976)

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