Comparison theory of Lorentzian distance with applications to spacelike hypersurfaces
comunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
comunitat-uji-handle4:
INVESTIGACIONMetadatos
Título
Comparison theory of Lorentzian distance with applications to spacelike hypersurfacesFecha de publicación
2009Editor
American Institute of PhysicsTipo de documento
info:eu-repo/semantics/articleVersión
info:eu-repo/semantics/acceptedVersionPalabras clave / Materias
Resumen
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 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. [-]
Publicado en
AIP conference proceedings, 2009Derechos de acceso
http://rightsstatements.org/vocab/CNE/1.0/
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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