Conformal vector fields on almost co-Kähler manifolds-Reference-Cited by-同舟云学术

Conformal vector fields on almost co-Kähler manifolds

Published:2021-12-01 Issue:6 Volume:71 Page:1545-1552
ISSN:0139-9918
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

De Uday Chand¹,Suh Young Jin²,Chaubey Sudhakar K.³

Affiliation:

1. Department of Pure Mathematics , University of Calcutta , 35, Ballygunge Circular Road Kol- 700019 , West Bengal , India

2. Department of Mathematics and Research Institute of Real & Complex Manifolds , Kyungpook National University , Daegu , 41566 , Republic of Korea

3. Section of Mathematics Department of Information Technology , University of Technology and Applied Sciences-Shinas , P.O. Box 77 Postal Code 324 , UTAS-Shinas , Oman

Abstract

Abstract In this paper, we characterize almost co-Kähler manifolds with a conformal vector field. It is proven that if an almost co-Kähler manifold has a conformal vector field that is collinear with the Reeb vector field, then the manifold is a K-almost co-Kähler manifold. It is also shown that if a (κ, μ)-almost co-Kähler manifold admits a Killing vector field V, then either the manifold is K-almost co-Kähler or the vector field V is an infinitesimal strict contact transformation, provided that the (1,1) tensor h remains invariant under the Killing vector field.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2021-0070/pdf

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