1. Contact CR-Warped product Submanifolds in Cosymplectic Manifolds.
- Author
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ATÇEKEN, MEHMET
- Subjects
- *
SUBMANIFOLDS , *MATHEMATICAL inequalities , *MATHEMATICAL functions , *MATHEMATICAL analysis , *MATHEMATICAL research - Abstract
The aim of this paper is to study the geometry of contact CR-warped product submanifolds in a cosymplectic manifold. We search several fundamental properties of contact CR-warped product submanifolds in a cosymplectic manifold. We also give neces- sary and sufficient conditions for a submanifold in a cosymplectic manifold to be contact CR-(warped) product submanifold. After then we establish a general inequality between the warping function and the second fundamental for a contact CR-warped product sub- manifold in a cosymplectic manifold and consider contact CR-warped product submanifold in a cosymplectic manifold which satisfy the equality case of the inequality and some new results are obtained. [ABSTRACT FROM AUTHOR]
- Published
- 2016
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