JP Journal of Geometry and Topology

The JP Journal of Geometry and Topology publishes articles in all branches of geometry and topology, with applications to physics. It covers areas such as differential geometry, algebraic topology, and geometric aspects of mathematical physics. Survey articles are also welcome.

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ON PARALLEL VECTOR FIELD ON l.c. COSYMPLECTIC MANIFOLDS

Authors

  • Servais Cyr Gatsé
  • Ange Maloko Mavambou
  • Apépé Jugeandène Nguéngué Louvouandou

Keywords:

foliations, locally conformally cosymplectic manifolds, parallel vector fields

DOI:

https://doi.org/10.17654/0972415X24002

Abstract

We consider a parallel vector field on a locally conformally almost (l.c.) cosymplectic manifold in the lines that follow. We show that this vector lies along the contact distribution or has a component with coefficient one along the structure vector field.

Received: January 20, 2024
Revised: March 11, 2024
Accepted: March 29, 2024

References

D. E. Blair, Riemannian geometry of contact and symplectic manifolds, 2nd ed., Progress in Mathematics, Vol. 203, Birkhauser Boston Inc., Boston, MA, 2010.

S. Dragomir and L. Ornea, Locally conformal Kahler geometry, Progress in Mathematics, Vol. 155, Birkhauser Boston Inc., Boston, MA, 1998.

F. Maria et al., Riemannian Submersions and Related Topic, World Scientific Publishing. Co. Pte. Ltd, 2004.

F. Massamba and A. Maloko Mavambou, A class of locally conformal almost cosymplectic manifolds, Bull. Malays. Math. Sci. Soc. 41 (2018), 545-563.

A. Moroianu, Compact lcK manifolds with parallel vector fields, Complex Manifolds 2 (2015), 26-33.

I. Vaisman, A survey of generalized Hopf manifolds, Rend. Sem. Mat. Univ. Politec. Torino (1983), 205-221.

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Published

2024-04-05

Issue

Vol. 30 No. 1 (2024)

Section

Articles

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How to Cite

ON PARALLEL VECTOR FIELD ON l.c. COSYMPLECTIC MANIFOLDS. (2024). JP Journal of Geometry and Topology, 30(1), 17-28. https://doi.org/10.17654/0972415X24002

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