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 $(M,g)$.
Citation
Lakehal Belarbi. Hichem Elhendi. "Geometry of Twisted Sasaki Metric." J. Geom. Symmetry Phys. 53 1 - 19, 2019. https://doi.org/10.7546/jgsp-53-2019-1-19
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