Results 21 to 30 of about 777 (268)
Concurrent Vector Fields on Lightlike Hypersurfaces
Mathematics, 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
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Totally geodesic submanifolds of a trans-Sasakian manifold; pp. 249–257 [PDF]
Proceedings of the Estonian Academy of Sciences, 2013 We consider invariant submanifolds of a trans-Sasakian manifold and obtain the conditions under which the submanifolds are totally geodesic. We also study invariant submanifolds of a trans-Sasakian manifold satisfying Z(X, Y).h = 0, where Z is the ...
Avik De
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Totally geodesic subgroups of diffeomorphisms [PDF]
Journal of Geometry and Physics, 2002 We determine the Riemannian manifolds for which the group of exact volume preserving diffeomorphisms is a totally geodesic subgroup of the group of volume preserving diffeomorphisms, considering right invariant $L^2$-metrics. The same is done for the subgroup of Hamiltonian diffeomorphisms as a subgroup of the group of symplectic diffeomorphisms in the
Haller, Stefan +2 more
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Isotropic Lagrangian Submanifolds in Complex Space Forms [PDF]
Journal 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
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CR-submanifolds of a locally conformal Kaehler space form
International 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
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Immersions and Embeddings of Totally Geodesic Surfaces [PDF]
Bulletin 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.
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On Totally Geodesic Submanifolds
AxiomsWe give a proof of Cartan’s Theorem on totally geodesic submanifolds for real analytic manifolds endowed with a real analytic, torsion-free, affine connection. We apply the theorem to real analytic Hadamard manifolds and, more generally, to real analytic
Antonella Nannicini, Donato Pertici
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A Classification of a Totally Umbilical Slant Submanifold of Cosymplectic Manifolds
Abstract and Applied Analysis, 2012 We study slant submanifolds of a cosymplectic manifold. It is shown that a totally umbilical slant submanifold 𝑀 of a cosymplectic manifold 𝑀 is either an anti-invariant submanifold or a 1−dimensional submanifold.
Siraj Uddin, Cenap Ozel, Viqar Azam Khan
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Totally geodesic submanifolds of symmetric spaces, I
Duke Mathematical Journal, 1977 One purpose of this article is to establish a general method to determine stability of totally geodesic submanifolds of symmetric spaces. The method is used to determine the stability of the basic totally geodesic submanifolds M+,M introduced and studied by Chen and Nagano in (Totally geodesic submanifolds of symmetric spaces, II, Duke Math. J.
Chen, Bang-yen, Nagano, Tadashi
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On Totally Contact Umbilical Contact CR-Lightlike Submanifolds Of Indefinite Sasakian Manifolds
Demonstratio Mathematica, 2014 After brief introduction, we prove that a totally contact umbilical CR- lightlike submanifold is totally contact geodesic. We obtain a necessary and sufficient condition for a CR-lightlike submanifold to be an anti-invariant submanifold.
Gogna Manish +2 more
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