Conformal vector fields on almost co-Kähler manifolds

Authors

  • Uday Chand De University of Calcutta
  • Young Jin Suh Kyungpook National University
  • Sudhakar K. Chaubey University of Technology and Applied Sciences-Shinas

DOI:

https://doi.org/10.1515/ms-2021-0070

Keywords:

co-Kähler manifolds, (κ, μ)-almost co-Kähler manifolds, K-almost co-Kähler manifolds, conformal vector field

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.

Author Biographies

  • Uday Chand De, University of Calcutta

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

  • Young Jin Suh, Kyungpook National University

    Department of Mathematics
    and Research Institute of Real & Complex Manifolds
    Kyungpook National University
    Daegu 41566
    REPUBLIC OF KOREA

  • Sudhakar K. Chaubey, University of Technology and Applied Sciences-Shinas

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

Published

2021-12-10

Issue

Section

Articles - Other topics