Results 1 to 10 of about 596,403 (183)

On CR-submanifolds of the six-dimensional sphere [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1995
We consider proper CR-submanifolds of the six-dimensional sphere S6. We prove that S6 does not admit compact proper CR-submanifolds with non-negative sectional curvature and integrable holomorphic distribution.
M. A. Bashir
doaj   +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   +2 more sources

Some results on the geometry of warped product CR-submanifolds in quasi-Sasakian manifold

open access: yesCubo, 2022
The present paper deals with a study of warped product submanifolds of quasi-Sasakian manifolds and warped product CR-submanifolds of quasi-Sasakian manifolds.
Shamsur Rahman
doaj   +1 more source

On warped product bi-slant submanifolds of Kenmotsu manifolds [PDF]

open access: yesArab Journal of Mathematical Sciences, 2021
Chen (2001) initiated the study of CR-warped product submanifolds in Kaehler manifolds and established a general inequality between an intrinsic invariant (the warping function) and an extrinsic invariant (second fundamental form).
Siraj Uddin, Ion Mihai, Adela Mihai
doaj   +1 more source

Ricci Curvature Inequalities for Skew CR-Warped Product Submanifolds in Complex Space Forms

open access: yesMathematics, 2020
The fundamental goal of this study was to achieve the Ricci curvature inequalities for a skew CR-warped product (SCR W-P) submanifold isometrically immersed in a complex space form (CSF) in the expressions of the squared norm of mean curvature vector and
Meraj Ali Khan, Ibrahim Aldayel
doaj   +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

Solitonic View of Generic Contact CR-Submanifolds of Sasakian Manifolds with Concurrent Vector Fields

open access: yesMathematics, 2023
This paper mainly devotes to the study of some solitons such as Ricci and Yamabe solitons and also their combination called Ricci-Yamabe solitons.
Vandana   +3 more
doaj   +1 more source

Lightlike Submanifolds of Indefinite Sasakian Manifolds

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2007
We first prove some results on invariant lightlike submanifolds of indefinite Sasakian manifolds. Then, we introduce a general notion of contact Cauchy-Riemann (CR) lightlike submanifolds and study the geometry of leaves of their distributions.
K. L. Duggal, B. Sahin
doaj   +1 more source

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

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