A basic inequality for submanifolds in locally conformal almost cosymplectic manifolds

2002 ◽  
Vol 112 (3) ◽  
pp. 415-423
Author(s):  
Mukut Mani Tripathi ◽  
Jeong-Sik Kim ◽  
Seon-Bu Kim
Keyword(s):  
Basic Inequality ◽  
Cosymplectic Manifolds ◽  
Locally Conformal

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.

On the geometry of normal locally conformal almost cosymplectic manifolds

2012 ◽  
Vol 91 (1-2) ◽  
pp. 34-45 ◽  
Author(s):  
V. F. Kirichenko ◽  
S. V. Kharitonova
Keyword(s):  
Cosymplectic Manifolds ◽  
Locally Conformal

scholarly journals Inequality for Ricci curvature of certain submanifolds in locally conformal almost cosymplectic manifolds

2005 ◽  
Vol 2005 (10) ◽  
pp. 1621-1632 ◽  
Author(s):  
Dae Won Yoon
Keyword(s):  
Scalar Curvature ◽  
Ricci Curvature ◽  
Mean Curvature ◽  
Slant Submanifold ◽  
Cosymplectic Manifold ◽  
Cosymplectic Manifolds ◽  
Almost Cosymplectic Manifold ◽  
Arbitrary Codimension ◽  
Locally Conformal

We establish inequalities between the Ricci curvature and the squared mean curvature, and also between thek-Ricci curvature and the scalar curvature for a slant, semi-slant, and bi-slant submanifold in a locally conformal almost cosymplectic manifold with arbitrary codimension.

scholarly journals Geometric inequalities for CR-warped product submanifolds of locally conformal almost cosymplectic manifolds

Filomat ◽  
2019 ◽  
Vol 33 (3) ◽  
pp. 741-748
Author(s):  
Akram Ali ◽  
Wan Othman ◽  
Sayyadah Qasem
Keyword(s):  
Sectional Curvature ◽  
Fundamental Form ◽  
Warped Product ◽  
Second Fundamental Form ◽  
Integration Theory ◽  
Warping Function ◽  
Geometric Inequalities ◽  
The Second Fundamental Form ◽  
Cosymplectic Manifolds ◽  
Locally Conformal

In this paper, we establish some inequalities for the squared norm of the second fundamental form and the warping function of warped product submanifolds in locally conformal almost cosymplectic manifolds with pointwise ?-sectional curvature. The equality cases are also considered. Moreover, we prove a triviality result for CR-warped product submanifold by using the integration theory on a compact orientate manifold without boundary.

scholarly journals Remarkable Classes of Almost 3-Contact Metric Manifolds

Axioms ◽  
2021 ◽  
Vol 10 (1) ◽  
pp. 8
Author(s):  
Giulia Dileo
Keyword(s):  
Geometric Properties ◽  
New Class ◽  
Contact Metric Manifolds ◽  
Cosymplectic Manifolds ◽  
Sasaki Manifolds

We introduce a new class of almost 3-contact metric manifolds, called 3-(0,δ)-Sasaki manifolds. We show fundamental geometric properties of these manifolds, analyzing analogies and differences with the known classes of 3-(α,δ)-Sasaki (α≠0) and 3-δ-cosymplectic manifolds.

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