Results 61 to 70 of about 17,898 (118)

Maximum Principle for Totally Umbilical Null Hypersurfaces and Time-dependent Null Horizons

open access: yesJournal of Mathematics Research, 2015
In this paper we modify the maximum principal of (Galloway, 2000) for totally geodesic null hypersurfaces  by proving a geometric maximum principle which obeys mean curvature inequalities of a family of totally umbilical null hypersurfaces of a spacetime manifold (Theorem~6).
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Totally Umbilical Hypersurfaces of Kaehler Manifolds

open access: yesTotally Umbilical Hypersurfaces of Kaehler Manifolds
24 KJ00003571949 論文 ...
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Totally umbilical radical transversal lightlike hypersurfaces of Kähler-Norden manifolds of constant totally real sectional curvatures

open access: yes, 2014
In this paper we study curvature properties of semi-symmetric type of totally umbilical radical transversal lightlike hypersurfaces $(M,g)$ and $(M,\widetilde g)$ of a Kähler-Norden manifold $(\overline M,\overline J,\overline g,\overline {\widetilde g})$ of constant totally real sectional curvatures $\overline ν$ and $\overline {\widetilde ν}$ ($g ...
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On effects of the null energy condition on totally umbilic hypersurfaces in a class of static spacetimes

open access: yesAnnals of Global Analysis and Geometry
AbstractWe study the effects of the null energy condition on totally umbilic hypersurfaces in a class of static spacetimes, both in the spacelike and the timelike case, respectively. In the spacelike case, we study totally umbilic warped product graphs and give a full characterization of embedded surfaces with constant spacetime mean curvature using an
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Codazzi and totally umbilical hypersurfaces in Sol1 4

open access: yesCodazzi and totally umbilical hypersurfaces in Sol1 4
In this paper, we prove the non-existence of Codazzi and totally umbilical hypersurfaces, especially totally geodesic hypersurfaces, in the 4-dimensional model space Sol(1)(4).
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Totally umbilic null hypersurfaces in generalized Robertson-Walker spaces

open access: yes, 2018
Using a correspondence between totally umbilic null hypersurfaces in generalized Robertson-Walker spaces and twisted decompositions of the fibre we show that nullcones are the unique totally umbilic null hypersurfaces in the closed Friedmann Cosmological model and a uniqueness result for dual pairs of totally umbilic null hypersurfaces in Reissner ...
Gutiérrez López, Manuel   +5 more
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