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:
INVESTIGACIONMetadata
Title
Comparison theory of Lorentzian distance with applications to spacelike hypersurfacesDate
2009Publisher
American Institute of PhysicsType
info:eu-repo/semantics/articleVersion
info:eu-repo/semantics/acceptedVersionSubject
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 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. [-]
Is part of
AIP conference proceedings, 2009Rights
http://rightsstatements.org/vocab/CNE/1.0/
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
This item appears in the folowing collection(s)
- MAT_Articles [751]