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Comparison theory of Lorentzian distance with applications to spacelike hypersurfaces
dc.contributor.author | Alías, Luis J. | |
dc.contributor.author | Hurtado, Ana | |
dc.contributor.author | Palmer Andreu, Vicente | |
dc.date.accessioned | 2013-07-10T17:04:40Z | |
dc.date.available | 2013-07-10T17:04:40Z | |
dc.date.issued | 2009 | |
dc.identifier.uri | http://hdl.handle.net/10234/70280 | |
dc.description.abstract | In this paper we summarize some comparison results for the Lorentzian distance function in spacetimes, with applications to the study of the geometric analysis of the Lorentzian distance on spacelike hypersurfaces. In particular, we will consider spacelike hypersufaces whose image under the immersion is bounded in the ambient spacetime and derive sharp estimates for the mean curvature of such hypersurfaces under appropriate hypotheses on the curvature of the ambient spacetime. The results in this paper are part of our recent work [1], where complete details and further related results may be found. | ca_CA |
dc.format.extent | 2 p. | ca_CA |
dc.format.mimetype | application/pdf | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | American Institute of Physics | ca_CA |
dc.relation.isPartOf | AIP conference proceedings, 2009 | ca_CA |
dc.rights.uri | http://rightsstatements.org/vocab/CNE/1.0/ | * |
dc.subject | Lorenzian distance function | ca_CA |
dc.subject | Hessian and Laplacian comparison results | ca_CA |
dc.subject | Spacelike hypersurface | ca_CA |
dc.subject | Mean curvature | ca_CA |
dc.subject | Omori-Yau maximum principle | ca_CA |
dc.title | Comparison theory of Lorentzian distance with applications to spacelike hypersurfaces | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_CA |
dc.type.version | info:eu-repo/semantics/acceptedVersion |
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