WARPED PRODUCT SKEW SEMI-INVARIANT SUBMANIFOLDS OF NEARLY COSYMPLECTIC MANIFOLDS

2019 ◽  
Vol 22 (2) ◽  
pp. 105-127
Author(s):  
Shyamal Kumar Hui ◽  
Tanumoy Pal ◽  
Joydeb Roy
Keyword(s):  
Warped Product ◽  
Cosymplectic Manifolds ◽  
Invariant Submanifolds ◽  
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

scholarly journals Warped product CR-submanifolds of LP-cosymplectic manifolds

Filomat ◽  
2010 ◽  
Vol 24 (1) ◽  
pp. 87-95 ◽  
Author(s):  
Siraj Uddin
Keyword(s):  
Warped Product ◽  
Characterization Result ◽  
Cosymplectic Manifold ◽  
Cr Submanifold ◽  
Cosymplectic Manifolds ◽  
Subject Classifications ◽  
Invariant Submanifolds ◽  
Mathematics Subject Classifications ◽  
Cr Submanifolds

In this paper, we study warped product CR-submanifolds of LP-cosymplectic manifolds. We have shown that the warped product of the type M = NT ? fN? does not exist, where NT and N? are invariant and anti-invariant submanifolds of an LP-cosymplectic manifold M?, respectively. Also, we have obtained a characterization result for a CR-submanifold to be locally a CR-warped product. 2010 Mathematics Subject Classifications. 53C15, 53C40, 53C42. .

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.

scholarly journals Warped Product Submanifolds of Riemannian Product Manifolds

2012 ◽  
Vol 2012 ◽  
pp. 1-12 ◽  
Author(s):  
Falleh R. Al-Solamy ◽  
Meraj Ali Khan
Keyword(s):  
Fundamental Form ◽  
Warped Product ◽  
Second Fundamental Form ◽  
Riemannian Product ◽  
Invariant Submanifolds

We study warped product of the typeNθ×fNTandNθ×fN⊥, whereNθ,NT, andN⊥are proper slant, invariant, and anti-invariant submanifolds, respectively, and we prove some basic results and finally obtain some inequalities for squared norm of second fundamental form.

scholarly journals Types of Submanifolds in Metallic Riemannian Manifolds: A Short Survey

Mathematics ◽  
2021 ◽  
Vol 9 (19) ◽  
pp. 2467
Author(s):  
Cristina E. Hretcanu ◽  
Adara M. Blaga
Keyword(s):  
Riemannian Manifolds ◽  
Warped Product ◽  
Slant Submanifolds ◽  
Short Survey ◽  
Existence And Nonexistence ◽  
Invariant Submanifolds

We provide a brief survey on the properties of submanifolds in metallic Riemannian manifolds. We focus on slant, semi-slant and hemi-slant submanifolds in metallic Riemannian manifolds and, in particular, on invariant, anti-invariant and semi-invariant submanifolds. We also describe the warped product bi-slant and, in particular, warped product semi-slant and warped product hemi-slant submanifolds in locally metallic Riemannian manifolds, obtaining some results regarding the existence and nonexistence of non-trivial semi-invariant, semi-slant and hemi-slant warped product submanifolds. We illustrate all these by suitable examples.

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