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The Rigging Technique for Null Hypersurfaces
Starting from the main definitions, we review the rigging technique for null hypersurfaces theory and most of its main properties. We make some applications to illustrate it.
Manuel Gutiérrez, Benjamín Olea
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Holomorphic vector bundles on K\"ahler manifolds and totally geodesic foliations on Euclidean open domains [PDF]
In this Note we establish a relation between sections in globally generated holomorphic vector bundles on K\"ahler manifolds, isotropic with respect to a non-degenerate quadratic form, and totally geodesic foliations on Euclidean open domains.
Aprodu, Marian, Aprodu, Monica Alice
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Totally real surfaces in CP2 with parallel mean curvature vector
It has been shown that a totally real surface in CP2 with parallel mean curvature vector and constant Gaussian curvature is either flat or totally geodesic.
M. A. Al-Gwaiz, Sharief Deshmukh
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Concurrent Vector Fields on Lightlike Hypersurfaces
Concurrent vector fields lying on lightlike hypersurfaces of a Lorentzian manifold are investigated. Obtained results dealing with concurrent vector fields are discussed for totally umbilical lightlike hypersurfaces and totally geodesic lightlike ...
Erol Kılıç +2 more
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Isotropic Lagrangian Submanifolds in Complex Space Forms [PDF]
In this paper we study isotropic Lagrangian submanifolds , in complex space forms . It is shown that they are either totally geodesic or minimal in the complex projective space , if . When , they are either totally geodesic or minimal in .
M.B. Kashani
doaj
On totally geodesic submanifolds in the Jacobian locus [PDF]
We study submanifolds of A_g that are totally geodesic for the locally symmetric metric and which are contained in the closure of the Jacobian locus but not in its boundary.
Alessandro Ghigi +6 more
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CR-submanifolds of a locally conformal Kaehler space form
(Bejancu [1,2]) The purpose of this paper is to continue the study of CR-submanifolds, and in particular of those of a locally conformal Kaehler space form (Matsumoto [3]).
M. Hasan Shahid
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Let M be a hyperbolic 3-manifold with nonempty totally geodesic boundary. We prove that there are upper and lower bounds on the diameter of the skinning map of M that depend only on the volume of the hyperbolic structure with totally geodesic boundary ...
Kent Iv, Richard Peabody
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Totally Geodesic Submanifolds in Tangent Bundle with g - natural Metric [PDF]
In the paper we investigate submanifolds in a tangent bundle endowed with g-natural metric G, defined by a vector field on a base manifold. We give a sufficient condition for a vector field on M to defined totally geodesic submanifold in (TM,G).
Ewert-Krzemieniewski, Stanisław
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Immersions and Embeddings of Totally Geodesic Surfaces [PDF]
It is shown that a hyperbolic 3-manifold of finite volume which contains an immersed totally geodesic surface is finitely covered by a manifold containing an embedding of a totally geodesic surface. This is a special case of a long standing conjecture of Waldhausen.
openaire +2 more sources

