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Geometric analysis of Lorentzian distance function on spacelike hypersurfaces
dc.contributor.author | Alías, Luis J. | |
dc.contributor.author | Hurtado, Ana | |
dc.contributor.author | Palmer Andreu, Vicente | |
dc.date.accessioned | 2013-07-10T13:56:56Z | |
dc.date.available | 2013-07-10T13:56:56Z | |
dc.date.issued | 2010 | |
dc.identifier.citation | TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY Volume 362, Number 10, October 2010, Pages 5083–5106 | ca_CA |
dc.identifier.issn | 0002-9947 | |
dc.identifier.issn | 1088-6850 | |
dc.identifier.uri | http://hdl.handle.net/10234/70220 | |
dc.description.abstract | Abstract. Some analysis on the Lorentzian distance in a spacetime with controlled sectional (or Ricci) curvatures is done. In particular, we focus on the study of the restriction of such distance to a spacelike hypersurface satisfying the Omori-Yau maximum principle. As a consequence, and under appropriate hypotheses on the (sectional or Ricci) curvatures of the ambient spacetime, we obtain sharp estimates for the mean curvature of those hypersurfaces. Moreover, we also give a sufficient condition for its hyperbolicity. | ca_CA |
dc.format.extent | 24 p. | ca_CA |
dc.format.mimetype | application/pdf | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | American Mathematical Society | ca_CA |
dc.relation.isPartOf | Transactions of the American Mathematical Society, 2010, Vol. 362, Num. 10 | ca_CA |
dc.rights | Copyright 2010 American Mathematical Society. First published in Transactions of the American Mathematical Society in volume 362, number 10, 2010, published by the American Mathematical Society | ca_CA |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | * |
dc.title | Geometric analysis of Lorentzian distance function on spacelike hypersurfaces | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_CA |
dc.relation.publisherVersion | http://www.ams.org/journals/tran/2010-362-10/S0002-9947-2010-04992-X/home.html | ca_CA |
dc.type.version | info:eu-repo/semantics/publishedVersion |
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