Geometric analysis of Lorentzian distance function on spacelike hypersurfaces

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dc.creatorAlias, Luis J.
dc.creatorHurtado, Ana
dc.creatorPalmer, Vicente
dc.date2008-02-29
dc.date2009-02-16
dc.date.accessioned2026-07-07T12:41:24Z
dc.date.available2026-07-07T12:41:24Z
dc.descriptionSome 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 suficient condition for its hyperbolicity.
dc.descriptionFinal version (January 2009). To appear in the Transactions of the American Mathematical Society
dc.identifierhttps://arxiv.org/abs/0802.4376
dc.identifierhttp://arxiv.org/abs/0802.4376
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/219756
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.subject53C50; 53C42; 31C05
dc.titleGeometric analysis of Lorentzian distance function on spacelike hypersurfaces
dc.typetext

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