Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 50
On geometry of the Mus-Cheeger-Gromoll metric
Fethi Latti
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
December 23, 2021
March 03, 2055
April 15, 2055

Abstract: The geometry of the tangent bundle TM is equipped with Ishihara [17], A. Salimov, A. Gezer, and N. Cengiz ( see [2], [9]]), etc. The rigidity of the Sasaki metric has incited some geometers to construct and study other metrics on Sasaki metric has been studied by many authors K. Yano and S TM. J. Cheeger and D. Gromoll has introduced the notion of Cheeger-Gromoll [3]. In [4] we have defined a metric on TM called the vertical rescaled generalized Cheeger-Gromoll metric. Motivated by the above studies, we introduce a new class of natural metrics denoted by G and called the ...