On para-complex structures of horizontal Sasaki gradient metric

Authors

  • H. El Hendi University of Bechar, Algeria
  • A. Zagane Relizane University, Algeria

DOI:

https://doi.org/10.31926/but.mif.2022.2.64.1.5

Keywords:

para-complex structures, para-Kahler manifold, para-Kahler-Norden manifold, horizontal Sasaki gradient metric

Abstract

In the present paper, we consider the horizontal Sasaki gradient metric on the tangent bundle TM over an m-dimensional Riemannian manifold (M, g). We construct almost para-complex Norden structures on TM and investigate conditions for these structures to be para-Kahler. We finally study some properties of the horizontal Sasaki gradient Metric which is pure with respect to some para-complex structures on TM.

Author Biographies

H. El Hendi, University of Bechar, Algeria

Department of Mathematics, PO Box 417, 08000

A. Zagane, Relizane University, Algeria

Department of Mathematics, 48000

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Published

2022-07-06

Issue

Vol. 2(64) No. 1 (2022)

Section

MATHEMATICS