A new class of metrics on the cotangent bundle

Authors

  • Abderrahim Zagane University Centre of Relizane 48000, Relizane, Algeria

DOI:

https://doi.org/10.31926/but.mif.2020.13.62.1.22

Keywords:

Horizontal lift, vertical lift, cotangent bundles, new class of metrics, geodesic

Abstract

In this paper, we introduce a new class of metrics on the cotangent bundle T*M over an m-dimensional Riemannian manifold (M; g) as a new natural metric with respect to g non-rigid on T*M. First, we investigate the Levi-Civita connection, curvature and we characterize some geodesic properties for the new class of metrics on the cotangent bundle T*M

Author Biography

Abderrahim Zagane, University Centre of Relizane 48000, Relizane, Algeria

Department of Mathematics

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Published

2020-07-22

Issue

Vol. 13(62) No. 1 (2020)

Section

MATHEMATICS