## Journal of Geometry and Symmetry in Physics

### Geometry of Twisted Sasaki Metric

#### Abstract

Let $(M,g)$ be a $n$-dimensional smooth Riemannian manifold. In the present paper, we introduce a new class of natural metrics denoted by $G^{f,h}$ and called twisted Sasaki matric on the tangent bundle $TM$. We studied the geometry of $(TM,G^{f,h})$ by giving a relationships of the curvatures, Einstein structure, scalar and sectional curvatures between $(TM,G^{f,h})$ and $(M,g)$.

#### Article information

Source
J. Geom. Symmetry Phys., Volume 53 (2019), 1-19.

Dates
First available in Project Euclid: 28 October 2019

https://projecteuclid.org/euclid.jgsp/1572228019

Digital Object Identifier
doi:10.7546/jgsp-53-2019-1-19

Mathematical Reviews number (MathSciNet)
MR0

Zentralblatt MATH identifier
0

#### Citation

Belarbi, Lakehal; Elhendi, Hichem. Geometry of Twisted Sasaki Metric. J. Geom. Symmetry Phys. 53 (2019), 1--19. doi:10.7546/jgsp-53-2019-1-19. https://projecteuclid.org/euclid.jgsp/1572228019