Some Results on Cosymplectic Manifolds Admitting Certain Vector Fields
- 1 January 2021
- journal article
- research article
- Published by Prof. Marin Drinov Publishing House of BAS (Bulgarian Academy of Sciences) in Journal of Geometry and Symmetry in Physics
- Vol. 60, 83-94
- https://doi.org/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.Keywords
This publication has 8 references indexed in Scilit:
- Almost $$\eta $$-Ricci solitons on Kenmotsu manifoldsEuropean Journal of Mathematics, 2021
- On submanifolds of Kenmotsu manifold with Torqued vector fieldHacettepe Journal of Mathematics and Statistics, 2020
- Remarks on Riemann and Ricci Solitons in $(\alpha,\beta)$-Contact Metric ManifoldsJournal of Geometry and Symmetry in Physics, 2020
- Torse-forming η-Ricci solitons in almost paracontact η-Einstein geometryFilomat, 2017
- SOME RESULTS ON CONCIRCULAR VECTOR FIELDS AND THEIR APPLICATIONS TO RICCI SOLITONSBulletin of the Korean Mathematical Society, 2015
- Holomorphically planar conformal vector fields on contact metric manifoldsActa Mathematica Hungarica, 2010
- Certain Results on K-Contact and (k, μ)-Contact ManifoldsJournal of Geometry, 2008
- Canonical Foliations of Certain Classes of Almost Contact Metric StructuresActa Mathematica Sinica, English Series, 2005