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Conformal vector fields on almost co-Kähler manifolds

  • Uday Chand De , Young Jin Suh and Sudhakar K. Chaubey EMAIL logo
Published/Copyright: December 10, 2021
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Mathematica Slovaca
From the journal Mathematica Slovaca Volume 71 Issue 6

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.

MSC 2010: Primary 53C40; Secondary 53C55
Keywords: almost co-Kähler manifolds; (κ,μ)-almost co-Kähler manifolds; K-almost co-Kähler manifolds; conformal vector field

The second author was supported by grant Proj. No. NRF-2018-R1D1A1B-05040381 from National Research Foundation of Korea. The third author acknowledges authority of University of Technology and Applied Sciences-Shinas for their continuous support and encouragement to carry out this research work

Acknowledgement

The authors express their sincere thanks to the Editor and anonymous referees for providing their valuable suggestions in the improvement of the paper.

  1. (Communicated by Július Korbaš )

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Received: 2020-05-11
Accepted: 2021-01-23
Published Online: 2021-12-10
Published in Print: 2021-12-20

© 2021 Mathematical Institute Slovak Academy of Sciences

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https://doi.org/10.1515/ms-2021-0070
Keywords for this article
almost co-Kähler manifolds; (κ,μ)-almost co-Kähler manifolds; K-almost co-Kähler manifolds; conformal vector field

Articles in the same Issue

  1. Regular Papers
  2. Semidistributivity and Whitman Property in implication zroupoids
  3. Composition of binary quadratic forms over number fields
  4. On Z-Symmetric Rings
  5. On the factorable spaces of absolutely p-summable, null, convergent, and bounded sequences
  6. Coefficient estimates for Libera type bi-close-to-convex functions
  7. Oscillation of nonlinear third-order differential equations with several sublinear neutral terms
  8. On rapidly oscillating solutions of a nonlinear elliptic equation
  9. Multiplicity of solutions for a class of fourth-order elliptic equations of p(x)-Kirchhoff type
  10. Existence of traveling wave solutions in nonlocal delayed higher-dimensional lattice systems with quasi-monotone nonlinearities
  11. On absolute double summability methods with high indices
  12. On the continuity of lattice isomorphisms on C(X, I)
  13. New fixed point theorems for countably condensing maps with an application to functional integral inclusions
  14. Common fixed point results under w-distance with applications to nonlinear integral equations and nonlinear fractional Differential Equations
  15. The form of locally defined operators in waterman spaces
  16. Conformal vector fields on almost co-Kähler manifolds
  17. A certain η-parallelism on real hypersurfaces in a nonflat complex space form
  18. On log-bimodal alpha-power distributions with application to nickel contents and erosion data
  19. Univariate and bivariate extensions of the generalized exponential distributions
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