scholarly journals An inequality for contact CR-warped product submanifolds of nearly cosymplectic manifolds

2012 ◽  
Vol 2012 (1) ◽  
Author(s):  
Siraj Uddin ◽  
Khalid Ali Khan
Keyword(s):  
Warped Product ◽  
Cosymplectic Manifolds ◽  
Nearly Cosymplectic

scholarly journals Warped Product Semi-Invariant Submanifolds of Nearly Cosymplectic Manifolds

2011 ◽  
Vol 2011 ◽  
pp. 1-12 ◽  
Author(s):  
Siraj Uddin ◽  
S. H. Kon ◽  
M. A. Khan ◽  
Khushwant Singh
Keyword(s):  
Warped Product ◽  
Riemannian Product ◽  
Cosymplectic Manifold ◽  
Cosymplectic Manifolds ◽  
Invariant Submanifolds ◽  
Nearly Cosymplectic

We study warped product semi-invariant submanifolds of nearly cosymplectic manifolds. We prove that the warped product of the type is a usual Riemannian product of and , where and are anti-invariant and invariant submanifolds of a nearly cosymplectic manifold , respectively. Thus we consider the warped product of the type and obtain a characterization for such type of warped product.

scholarly journals Role of shape operator in warped product submanifolds of nearly cosymplectic manifolds

2020 ◽  
Vol 5 (6) ◽  
pp. 6313-6324
Author(s):  
Rifaqat Ali ◽  
◽  
Nadia Alluhaibi ◽  
Khaled Mohamed Khedher ◽  
Fatemah Mofarreh ◽  
...  
Keyword(s):  
Warped Product ◽  
Shape Operator ◽  
Cosymplectic Manifolds ◽  
Nearly Cosymplectic

Curvature inequalities for C-totally real doubly warped products of locally conformal almost cosymplectic manifolds

Filomat ◽  
2017 ◽  
Vol 31 (20) ◽  
pp. 6449-6459 ◽  
Author(s):  
Akram Ali ◽  
Siraj Uddin ◽  
Wan Othman ◽  
Cenap Ozel
Keyword(s):  
Sectional Curvature ◽  
Mean Curvature ◽  
Warped Product ◽  
Warped Products ◽  
Equality Case ◽  
Cosymplectic Manifolds ◽  
Almost Cosymplectic Manifold ◽  
Locally Conformal ◽  
Totally Real ◽  
Optimal Inequalities

In this paper, we establish some optimal inequalities for the squared mean curvature in terms warping functions of a C-totally real doubly warped product submanifold of a locally conformal almost cosymplectic manifold with a pointwise ?-sectional curvature c. The equality case in the statement of inequalities is also considered. Moreover, some applications of obtained results are derived.

Nearly cosymplectic manifolds with nullity conditions

2019 ◽  
Vol 12 (06) ◽  
pp. 2040012 ◽  
Author(s):  
Mustafa Yıldırım ◽  
Gülhan Ayar
Keyword(s):  
Cosymplectic Manifold ◽  
Projectively Flat ◽  
Cosymplectic Manifolds ◽  
Nullity Distribution ◽  
Nearly Cosymplectic ◽  
Text Condition

We investigate nearly cosymplectic manifolds with [Formula: see text]-nullity distribution. Also, we consider pseudo-projectively flat [Formula: see text]-nearly cosymplectic manifold and study [Formula: see text] condition.

scholarly journals Some Remarks on Quasi-Generalized CR-Null Geometry in Indefinite Nearly Cosymplectic Manifolds

2016 ◽  
Vol 2016 ◽  
pp. 1-10
Author(s):  
Fortuné Massamba ◽  
Samuel Ssekajja
Keyword(s):  
Totally Umbilical ◽  
Cosymplectic Manifold ◽  
Cosymplectic Manifolds ◽  
Nearly Cosymplectic ◽  
Geometric Effects

Attention is drawn to some distributions on ascreen Quasi-Generalized Cauchy-Riemannian (QGCR) null submanifolds in an indefinite nearly cosymplectic manifold. We characterize totally umbilical and irrotational ascreen QGCR-null submanifolds. We finally discuss the geometric effects of geodesity conditions on such submanifolds.

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