scholarly journals Warped product contact CR-submanifolds of trans-Sasakian manifolds

Filomat ◽  
2007 ◽  
Vol 21 (2) ◽  
pp. 55-62 ◽  
Author(s):  
Khan Sirajuddin ◽  
Azam Khan
Keyword(s):  
Warped Product ◽  
General Setting ◽  
Sasakian Manifold ◽  
Warped Products ◽  
Sasakian Manifolds ◽  
Kaehler Manifold ◽  
Cr Submanifolds

B.Y. Chen [4] showed that there exists no proper warped CR-submanifolds N_ x ? NT of a Kaehler manifold and obtained many results on CR-warped products NT x ? N_. Contact CR-warped product submanifolds in Sasakian manifold were studied by I. Hasegawa and I. Mihai [6]. In this paper we have investigated the existence of contact CR-warped product submanifolds in more general setting of trans-Sasakian manifolds. .

scholarly journals RETRACTED Warped Product Pointwise Semi-slant Submanifolds of Sasakian Manifol Retracted

2021 ◽  
Vol 45 (5) ◽  
pp. 721-738
Author(s):  
ION MIHAI ◽  
◽  
SIRAJ UDDIN ◽  
АДЕЛА MIHAI
Keyword(s):  
Warped Product ◽  
Warped Products ◽  
Sasakian Manifolds ◽  
Slant Submanifolds ◽  
Hermitian Manifolds ◽  
Almost Hermitian Manifolds

Recently, B.-Y. Chen and O. J. Garay studied pointwise slant submanifolds of almost Hermitian manifolds. By using the notion of pointwise slant submanifolds, we investigate the geometry of pointwise semi-slant submanifolds and their warped products in Sasakian manifolds. We give non-trivial examples of such submanifolds and obtain several fundamental results, including a characterization for warped product pointwise semi-slant submanifolds of Sasakian manifolds.

scholarly journals Warped Product Submanifolds of LP-Sasakian Manifolds

2012 ◽  
Vol 2012 ◽  
pp. 1-11
Author(s):  
S. K. Hui ◽  
S. Uddin ◽  
C. Özel ◽  
A. A. Mustafa
Keyword(s):  
Warped Product ◽  
Sasakian Manifold ◽  
Sasakian Manifolds ◽  
Slant Submanifolds

We study of warped product submanifolds, especially warped product hemi-slant submanifolds of LP-Sasakian manifolds. We obtain the results on the nonexistance or existence of warped product hemi-slant submanifolds and give some examples of LP-Sasakian manifolds. The existence of warped product hemi-slant submanifolds of an LP-Sasakian manifold is also ensured by an interesting example.

scholarly journals Generalised CR-submanifolds of a LP-Sasakian manifolds

Filomat ◽  
2018 ◽  
Vol 32 (18) ◽  
pp. 6281-6287
Author(s):  
Gopal Ghosh ◽  
Chiranjib Dey
Keyword(s):  
Sasakian Manifolds ◽  
Kaehler Manifold ◽  
Cr Submanifolds

The study of CR-submanifolds of a Kaehler manifold was initiated by Bejancu [1]. Since then many papers have appeared on CR-submanifolds. The aim of the present paper is to study generalised CR-submanifolds of a LP-Sasakian manifolds.

scholarly journals Warped product CR-submanifolds of Sasakian manifolds with respect to certain connections

2019 ◽  
Vol 25 (3) ◽  
pp. 194-202
Author(s):  
Shyamal Kumar Hui ◽  
Joydeb Roy
Keyword(s):  
Warped Product ◽  
Ricci Solitons ◽  
Sasakian Manifolds ◽  
Metric Connection ◽  
Cr Submanifolds

The present paper deals with the study of warped product CR-submanifolds of Sasakian manifolds with respect to semisymmetric metric and semisymmetric non-metric connection. Among others, Ricci solitons of such notions have been investigated.

scholarly journals Contact CR-submanifolds of an indefinite Lorentzian para-Sasakian manifold

2013 ◽  
Vol 5 (2) ◽  
pp. 157-168
Author(s):  
Barnali Laha ◽  
Bandana Das ◽  
Arindam Bhattacharyya
Keyword(s):  
Sasakian Manifold ◽  
Invariant Distribution ◽  
Sasakian Manifolds ◽  
Totally Geodesic ◽  
Cr Submanifolds

Abstract In this paper we prove some properties of the indefinite Lorentzian para-Sasakian manifolds. Section 1 is introductory. In Section 2 we define D-totally geodesic and D⊥-totally geodesic contact CRsubmanifolds of an indefinite Lorentzian para-Sasakian manifold and deduce some results concerning such a manifold. In Section 3 we state and prove some results on mixed totally geodesic contact CR-submanifolds of an indefinite Lorentzian para-Sasakian manifold. Finally, in Section 4 we obtain a result on the anti-invariant distribution of totally umbilic contact CR-submanifolds of an indefinite Lorentzian para-Sasakian manifold.

scholarly journals A Study of Doubly Warped Product Immersions in a Nearly Trans-Sasakian Manifold with Slant Factor

2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
Ali H. Alkhaldi ◽  
Aliya Naaz Siddiqui ◽  
Kamran Ahmad ◽  
Akram Ali
Keyword(s):  
Cohomology Class ◽  
Warped Product ◽  
Sasakian Manifold ◽  
Sasakian Manifolds ◽  
De Rham Cohomology ◽  
De Rham

In this article, we discuss the de Rham cohomology class for bislant submanifolds in nearly trans-Sasakian manifolds. Moreover, we give a classification of warped product bislant submanifolds in nearly trans-Sasakian manifolds with some nontrivial examples in the support. Next, it is of great interest to prove that there does not exist any doubly warped product bislant submanifolds other than warped product bislant submanifolds in nearly trans-Sasakian manifolds. Some immediate consequences are also obtained.

scholarly journals Warped product CR-submanifolds of Lorentzian β-Kenmotsu manifolds

2012 ◽  
Vol 92 (106) ◽  
pp. 157-163
Author(s):  
Siraj Uddin ◽  
Cenap Ozel ◽  
Azam Khan
Keyword(s):  
Warped Product ◽  
Warped Products ◽  
Characterization Result ◽  
Kenmotsu Manifolds ◽  
Cr Submanifolds

We study the geometry of warped product submanifolds of Lorentzian ?-Kenmotsu manifolds. We obtain a characterization result for CR-warped products.

scholarly journals On warped product semi-slant submanifolds of nearly Trans-Sasakian manifolds

Filomat ◽  
2018 ◽  
Vol 32 (17) ◽  
pp. 5845-5856
Author(s):  
Akram Ali ◽  
Ali Alkhaldi ◽  
Rifaqat Ali
Keyword(s):  
Warped Product ◽  
Sufficient Conditions ◽  
Characterization Theorem ◽  
Sasakian Manifold ◽  
Necessary And Sufficient Conditions ◽  
Sasakian Manifolds ◽  
Slant Submanifold ◽  
Slant Submanifolds ◽  
Necessary And Sufficient

In this paper, we study warped product semi-slant submanifold of type M = NT xf N? with slant fiber, isometrically immersed in a nearly Trans-Sasakian manifold by finding necessary and sufficient conditions in terms of Weingarten map. A characterization theorem is proved as main result.

scholarly journals Pointwise slant submanifolds and their warped products in Sasakian manifolds

Filomat ◽  
2018 ◽  
Vol 32 (12) ◽  
pp. 4131-4142 ◽  
Author(s):  
Siraj Uddin ◽  
Ali Alkhaldi
Keyword(s):  
Warped Product ◽  
Warped Products ◽  
Sasakian Manifolds ◽  
Slant Submanifolds ◽  
Hermitian Manifolds ◽  
Contact Metric Manifolds ◽  
Almost Hermitian Manifolds ◽  
Almost Contact Metric ◽  
Almost Contact Metric Manifolds

Recently, B.-Y. Chen and O.J. Garay studied pointwise slant submanifolds of almost Hermitian manifolds. In this paper, first we study pointwise slant and pointwise pseudo-slant submanifolds of almost contact metric manifolds and then using this notion, we show that there exist a non-trivial class of warped product pointwise pseudo-slant submanifolds of Sasakian manifolds by giving some useful results, including a characterization.

scholarly journals CR-submanifolds of a nearly trans-Sasakian manifold

2002 ◽  
Vol 31 (3) ◽  
pp. 167-175 ◽  
Author(s):  
Falleh R. Al-Solamy
Keyword(s):  
Sasakian Manifold ◽  
Sasakian Manifolds ◽  
Cr Submanifolds

This paper considers the study of CR-submanifolds of a nearly trans-Sasakian manifold, generalizing the results of trans-Sasakian manifolds and thus those of Sasakian manifolds.

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