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2021 Some Results on Cosymplectic Manifolds Admitting Certain Vector Fields
Halil İbrahim Yoldaş
J. Geom. Symmetry Phys. 60: 83-94 (2021). DOI: 10.7546/jgsp-60-2021-83-94

Abstract

The purpose of present paper is to study cosymplectic manifolds admitting certain special vector fields such as holomorphically planar conformal (in short HPC) vector field. First, we prove that an HPC vector field on a cosymplectic manifold is also a Jacobi-type vector field. Then, we obtain the necessary conditions for such a vector field to be Killing. Finally, we give an important characterization for a torse-forming vector field on such a manifold given as to be recurrent.

Citation

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Halil İbrahim Yoldaş. "Some Results on Cosymplectic Manifolds Admitting Certain Vector Fields." J. Geom. Symmetry Phys. 60 83 - 94, 2021. https://doi.org/10.7546/jgsp-60-2021-83-94

Information

Published: 2021
First available in Project Euclid: 4 August 2021

Digital Object Identifier: 10.7546/jgsp-60-2021-83-94

Rights: Copyright © 2021 Institute of Mechanics, Bulgarian Academy of Sciences

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