A note on warped products

2022 ◽  
Vol 508 (2) ◽  
pp. 125884
Author(s):  
Josué Meléndez ◽  
Mario Hernández
Keyword(s):  
Warped Products

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.

Pointwise pseudo-slant submanifolds of a Kenmotsu manifold

Filomat ◽  
2017 ◽  
Vol 31 (18) ◽  
pp. 5833-5853 ◽  
Author(s):  
Viqar Khan ◽  
Mohammad Shuaib
Keyword(s):  
Present Article ◽  
Warped Product ◽  
Shape Operator ◽  
Warped Products ◽  
Canonical Structure ◽  
Slant Submanifold ◽  
Kenmotsu Manifold ◽  
Slant Submanifolds ◽  
Kenmotsu Manifolds

In the present article, we have investigated pointwise pseudo-slant submanifolds of Kenmotsu manifolds and have sought conditions under which these submanifolds are warped products. To this end first, it is shown that these submanifolds can not be expressed as non-trivial doubly warped product submanifolds. However, as there exist non-trivial (single) warped product submanifolds of a Kenmotsu manifold, we have worked out characterizations in terms of a canonical structure T and the shape operator under which a pointwise pseudo slant submanifold of a Kenmotsu manifold reduces to a warped product submanifold.

Parabolicity of minimal graphs in Riemannian warped products and rigidity theorems

2016 ◽  
Vol 141 ◽  
pp. 130-138
Author(s):  
Juan A. Aledo ◽  
Rafael M. Rubio
Keyword(s):  
Warped Products ◽  
Minimal Graphs ◽  
Rigidity Theorems

scholarly journals Warped Products in Real Space Forms

2004 ◽  
Vol 34 (2) ◽  
pp. 551-563 ◽  
Author(s):  
Bang-Yen Chen
Keyword(s):  
Real Space ◽  
Warped Products ◽  
Space Forms ◽  
Real Space Forms

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 A Bernstein problem in warped products

2016 ◽  
Vol 41 ◽  
pp. 699-704
Author(s):  
Juan A. Aledo ◽  
Rafael M. Rubio
Keyword(s):  
Warped Products ◽  
Bernstein Problem

On the Uniqueness of Complete Two-Sided Hypersurfaces Immersed in a Class of Weighted Warped Products

2017 ◽  
Vol 27 (3) ◽  
pp. 2278-2301 ◽  
Author(s):  
Henrique F. de Lima ◽  
Arlandson M. Oliveira ◽  
Marco Antonio L. Velásquez
Keyword(s):  
Warped Products
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