Complete spacelike hypersurfaces with constant mean curvature in -R x H^n

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Title: Complete spacelike hypersurfaces with constant mean curvature in -R x H^n
Authors: Albujer, Alma L. | Camargo, Fernanda E.C. | de Lima, Henrique F.
Research Group/s: Grupo de Geometría y Topología (GeoTop)
Center, Department or Service: Universidad de Alicante. Departamento de Matemáticas
Keywords: Lorentzian product space | Spacelike hypersurface | Mean curvature | Spacelike vertical graph
Issue Date: 24-Feb-2010
Publisher: Elsevier
Citation: Journal of Mathematical Analysis and Applications. 2010, 368(2): 650-657. https://doi.org/10.1016/j.jmaa.2010.02.039
Abstract: In this paper, by applying the Omori–Yau generalized maximum principle for complete Riemannian manifolds, we obtain Bernstein-type results concerning complete spacelike hypersurfaces with constant mean curvature immersed in the Lorentzian product space −R x H_n.
Sponsor: The first author is partially supported by MEC project MTM2009-10418, and Fundación Séneca project 04540/GERM/06, Spain. This research is a result of the activity developed within the framework of the Programme in Support of Excellence Groups of the Región de Murcia, Spain, by Fundación Séneca, Regional Agency for Science and Technology (Regional Plan for Science and Technology 2007–2010). The third author is partially supported by FAPESQ/CNPq/PPP, Brazil.
URI: http://hdl.handle.net/10045/151624
ISSN: 0022-247X (Print) | 1096-0813 (Online)
DOI: 10.1016/j.jmaa.2010.02.039
Language: eng
Type: info:eu-repo/semantics/article
Rights: © 2010 Elsevier Inc.
Peer Review: si
Publisher version: https://doi.org/10.1016/j.jmaa.2010.02.039
Appears in Collections:INV - GeoTop - Artículos de Revistas

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