Some Results on Cosymplectic Manifolds Admitting Certain Vector Fields

IF 0.5 Q4 PHYSICS, MATHEMATICAL

Journal of Geometry and Symmetry in Physics Pub Date : 2021-07-01 DOI:10.7546/jgsp-60-2021-83-94

H. Yoldaş

引用次数: 0

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.

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关于允许某些向量场的辛流形的一些结果

本文的目的是研究具有某些特殊向量场的共辛流形，如全纯平面共形向量场。首先证明了余辛流形上的HPC向量场也是一个雅可比型向量场。然后，得到了该向量场为可杀的必要条件。最后，我们给出了在这样一个给定的递推流形上的扭转形成向量场的一个重要表征。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Geometry and Symmetry in Physics PHYSICS, MATHEMATICAL-

CiteScore

1.50

自引率

25.00%

发文量

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