Results 31 to 40 of about 26,118 (326)

The Rigging Technique for Null Hypersurfaces

open access: yesAxioms, 2021
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
doaj   +1 more source

Holomorphic vector bundles on K\"ahler manifolds and totally geodesic foliations on Euclidean open domains [PDF]

open access: yes, 2014
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
core   +3 more sources

Totally real surfaces in CP2 with parallel mean curvature vector

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1992
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
doaj   +1 more source

Concurrent Vector Fields on Lightlike Hypersurfaces

open access: yesMathematics, 2020
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
doaj   +1 more source

Isotropic Lagrangian Submanifolds in Complex Space Forms [PDF]

open access: yesJournal of Sciences, Islamic Republic of Iran, 2012
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]

open access: yes, 2015
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
core   +4 more sources

CR-submanifolds of a locally conformal Kaehler space form

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1994
(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
doaj   +1 more source

Skinning maps [PDF]

open access: yes, 2009
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
core   +1 more source

Totally Geodesic Submanifolds in Tangent Bundle with g - natural Metric [PDF]

open access: yes, 2013
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
core   +1 more source

Immersions and Embeddings of Totally Geodesic Surfaces [PDF]

open access: yesBulletin of the London Mathematical Society, 1987
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

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