Results 31 to 40 of about 136 (132)

Generic submanifolds of a locally conformal Kaehler manifold-II

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1993
The purpose of this paper is to study generic submanifolds with parallel structures, generic product submanifolds and totally umbilical submanifolds of a locally conformal Kaehler manifold.
M. Hasan Shahid, Kouei Sekigawa
doaj   +1 more source

Submersions of generic submanifolds of a Kaehler manifold

open access: yesArab Journal of Mathematical Sciences, 2014
Kobayashi has shown that for the submersion π:M→B of a CR-submanifold of a Kaehler manifold M¯ onto an almost Hermitian manifold B,B is necessarily a Kaehler manifold.
Tanveer Fatima, Shahid Ali
doaj   +1 more source

Cohomology of CR-submanifolds [PDF]

open access: yesAnnales de la Faculté des sciences de Toulouse : Mathématiques, 1981
© Universite Paul Sabatier, 1981, tous droits reserves. L’acces aux archives de la revue « Annales de la faculte des sciences de Toulouse » (http://picard.ups-tlse.fr/∼annales/), implique l’accord avec les conditions generales d’utilisation (http://www.numdam.org/legal.php).
openaire   +1 more source

Contact co-isotropic CR submanifolds of a pseudo-Sasakian manifold

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1984
It is proved that any co-isotropic submanifold M of a pseudo-Sasakian manifold M˜(U,ξ,η˜,g˜) is a CR submanifold (such submanfolds are called CICR submanifolds) with involutive vertical distribution ν1.
Vladislav V. Goldberg, Radu Rosca
doaj   +1 more source

Flatness of CR submanifolds in a sphere [PDF]

open access: yesScience China Mathematics, 2010
Let $M$ be the image of a smooth CR embedding of a strictly pseudoconvex CR real hypersurface into a sphere. If the CR second fundamental form of $M$ vanishes, we show that $M$ is a totally geodesic submanifold.
Ji, Shanyu, Yuan, Yuan
openaire   +2 more sources

CR-submanifolds of SQ-Sasakian manifold

open access: yesTamkang Journal of Mathematics, 2022
In this paper we discussed CR-submanifold of SQ-Sasakian manifold. Next, we considered Chaki pseudo parallel as well as Deszcz pseudo parallel CR-submanifold of SQ-Sasakian manifold. Further we studied almost Ricci soliton and almost Yamabe soliton with torse forming vector field on CR-subamnifold of SQ-Sasakian manifold using semi-symmetric metric ...
Yadav, Sarvesh Kumar   +4 more
openaire   +2 more sources

On totally umbilical CR-submanifolds of a Kaehler manifold

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1993
Let M be a compact 3-dimensional totally umbilical CR-submanifold of a Kaehler manifold of positive holomorphic sectional curvature. We prove that if the length of the mean curvature vector of M does not vanish, then M is either diffeomorphic to S3 or ...
M. A. Bashir
doaj   +1 more source

On normal CR-submanifolds of S-manifolds [PDF]

open access: yesColloquium Mathematicum, 1993
The notion of a CR-submanifold of an \(S\)-manifold was introduced by the reviewer [Stud. Cercet. Mat. 35, 127-136 (1983; Zbl 0516.53044)]. In the paper under review, the normality of such a submanifold is defined. Necessary and sufficient conditions for a CR-submanifold of an \(S\)- manifold to be normal are given.
Cabrerizo, José L.   +2 more
openaire   +1 more source

On Generic submanifolds of a locally conformal Kahler manifold with parallel canonical structures

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1995
The study of CR-submanifolds of a Kähler manifold was initiated by Bejancu [1]. Since then many papers have appeared on CR-submanifolds of a Kähler manifold.
M. Hasan shahid, A. Sharfuddin
doaj   +1 more source

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