Contact CR-Warped product Submanifolds in Cosymplectic Manifolds
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The aim of this paper is to study thegeometry of contact CR-warped product submanifolds in a cosymplecticmanifold. We search several fundamental properties of contactCR-warped product submanifolds in a cosymplectic manifold. We alsogive necessary and sufficient conditions for a submanifold in acosymplectic manifold to be contact CR-(warped) product submanifold. After then we establish a general inequality between the warpingfunction and the second fundamental for a contact CR-warped productsubmanifold in a cosymplectic manifold and consider contactCR-warped product submanifold in a cosymplectic manifold whichsatisfy the equality case of the inequality and some new results areobtained.
Abstract
The aim of this paper is to study thegeometry of contact CR-warped product submanifolds in a cosymplecticmanifold. We search several fundamental properties of contactCR-warped product submanifolds in a cosymplectic manifold. We alsogive necessary and sufficient conditions for a submanifold in acosymplectic manifold to be contact CR-(warped) product submanifold. After then we establish a general inequality between the warpingfunction and the second fundamental for a contact CR-warped productsubmanifold in a cosymplectic manifold and consider contactCR-warped product submanifold in a cosymplectic manifold whichsatisfy the equality case of the inequality and some new results areobtained.
참고문헌 (10)
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