Complete spacelike hypersurfaces with constant scalar curvature: Descriptions and gaps-Reference-Cited by-同舟云学术

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Complete spacelike hypersurfaces with constant scalar curvature: Descriptions and gaps

Published:2021-12-01 Issue:4 Volume:65 Page:
ISSN:0019-2082
Container-title:Illinois Journal of Mathematics
language:
Short-container-title:Illinois J. Math.

Author:

Colares A. Gervasio¹,de Lima Eudes L.²,de Lima Henrique F.³

Affiliation:

1. Departamento de Matemática, Universidade Federal do Ceará, Fortaleza, Ceará, Brazil

2. Unidade Acadêmica de Ciências Exatas e da Natureza, Universidade Federal de Campina Grande, Cajazeiras, Paraíba, Brazil

3. Departamento de Matemática, Universidade Federal de Campina Grande, Campina Grande, Paraíba, Brazil

Publisher

Duke University Press

Subject

General Mathematics

Reference34 articles.

1. N. Abe, N. Koike, and S. Yamaguchi, Congruence theorems for proper semi- Riemannian hypersurfaces in a real space form, Yokohama Math. J. 35 (1987), nos. 1–2, 123–136.

2. L .J. Alías, H. F. de Lima, and F. R. dos Santos, New characterizations of linear Weingarten spacelike hypersurfaces in the de Sitter space, Pacific J. Math. 292 (2018), no. 1, 1–19.

3. L. J. Alías, P. Mastrolia, and M. Rigoli, Maximum Principles and Geometric Applications, Springer Monogr. Math., Springer, Cham, 2016, xvii + 570.

4. L. J. Alías, J. Meléndez, and O. Palmas, Hypersurfaces with constant scalar curvature in space forms, Differential Geom. Appl. 58 (2018), 65–82.

5. A. Brasil Jr., A. G. Colares, and O. Palmas, Complete spacelike hypersurfaces with constant mean curvature in the de Sitter space: A gap theorem, Illinois J. Math. 47 (2003), no. 3, 847–866.

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