Complete spacelike hypersurfaces with constant mean curvature in -R x H^n
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http://hdl.handle.net/10045/151624
Title: | Complete spacelike hypersurfaces with constant mean curvature in -R x H^n |
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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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