Compact Spacelike Hypersurfaces with Constant Mean Curvature in the Antide Sitter Space
Joint Authors
de Lima, Joseilson R.
de Lima, Henrique F.
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-10-25
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We obtain a height estimate concerning to a compact spacelike hypersurface Σn immersed with constant mean curvature H in the anti-de Sitter space ℍ1n+1, when its boundary ∂Σ is contained into an umbilical spacelike hypersurface of this spacetime which is isometric to the hyperbolic space ℍn.
Our estimate depends only on the value of H and on the geometry of ∂Σ.
As applications of our estimate, we obtain a characterization of hyperbolic domains of ℍ1n+1 and nonexistence results in connection with such types of hypersurfaces.
American Psychological Association (APA)
de Lima, Henrique F.& de Lima, Joseilson R.. 2009. Compact Spacelike Hypersurfaces with Constant Mean Curvature in the Antide Sitter Space. International Journal of Mathematics and Mathematical Sciences،Vol. 2009, no. 2009, pp.1-12.
https://search.emarefa.net/detail/BIM-489397
Modern Language Association (MLA)
de Lima, Henrique F.& de Lima, Joseilson R.. Compact Spacelike Hypersurfaces with Constant Mean Curvature in the Antide Sitter Space. International Journal of Mathematics and Mathematical Sciences No. 2009 (2009), pp.1-12.
https://search.emarefa.net/detail/BIM-489397
American Medical Association (AMA)
de Lima, Henrique F.& de Lima, Joseilson R.. Compact Spacelike Hypersurfaces with Constant Mean Curvature in the Antide Sitter Space. International Journal of Mathematics and Mathematical Sciences. 2009. Vol. 2009, no. 2009, pp.1-12.
https://search.emarefa.net/detail/BIM-489397
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-489397
