Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Contact CR-Warped product Submanifolds in Cosymplectic Manifolds

  • Atceken, Mehmet (Department of Mathematics, Faculty of Arts and Sciences, Gaziosmanpasa University)
  • Received : 2015.06.19
  • Accepted : 2016.07.06
  • Published : 2016.09.23
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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 necessary 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 submanifold 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.

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References

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