Geometric analysis of Lorentzian distance function on spacelike hypersurfaces
comunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
comunitat-uji-handle4:
INVESTIGACIONMetadatos
Título
Geometric analysis of Lorentzian distance function on spacelike hypersurfacesFecha de publicación
2010Editor
American Mathematical SocietyISSN
0002-9947; 1088-6850Cita bibliográfica
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY Volume 362, Number 10, October 2010, Pages 5083–5106Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
http://www.ams.org/journals/tran/2010-362-10/S0002-9947-2010-04992-X/home.htmlVersión
info:eu-repo/semantics/publishedVersionResumen
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 ... [+]
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. [-]
Publicado en
Transactions of the American Mathematical Society, 2010, Vol. 362, Num. 10Derechos de acceso
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
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info:eu-repo/semantics/openAccess
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