Constant Mean Curvature Spacelike Surfaces in Lorentzian Warped Products-Reference-Cited by-同舟云学术

Constant Mean Curvature Spacelike Surfaces in Lorentzian Warped Products

Published:2015 Issue: Volume:2015 Page:1-5
ISSN:1687-9120
Container-title:Advances in Mathematical Physics
language:en
Short-container-title:Advances in Mathematical Physics

Author:

Aledo Juan A.¹,Rubio Rafael M.²

Affiliation:

1. Departamento de Matemáticas, E.S.I. Informática, Universidad de Castilla-La Mancha, 02071 Albacete, Spain

2. Departamento de Matemáticas, Campus de Rabanales, Universidad de Córdoba, 14071 Córdoba, Spain

Abstract

We characterize the spacelike slices of a Lorentzian warped product as the only constant mean curvature spacelike surfaces under suitable geometrical and physical assumptions. As a consequence of our study, we derive a Bernstein-type result which widely improves and extends the state-of-the-art results in this setting.

Funder

Spanish Ministerio de Economía y Competitividad

Publisher

Hindawi Limited

Subject

Applied Mathematics,General Physics and Astronomy

Link

http://downloads.hindawi.com/journals/amp/2015/761302.pdf

Reference18 articles.

1. Graduate Texts in Mathematics,1977

2. Maximal hypersurfaces and foliations of constant mean curvature in general relativity

3. Isometric immersions of Riemannian manifolds

4. Harmonic functions on complete riemannian manifolds

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2. Constant Mean Curvature Hypersurfaces in the Steady State Space: A Survey;Lorentzian Geometry and Related Topics;2017