In this paper, we introduce the Mus-Sasaki metric on the tangent bundle T M as a new natural metric non-rigid on T M. First we investigate the geometry of the Mus-Sasakian metrics and we characterize the sectional curvature and the scalar curvature.
Abderrahim, Zagane, 2021, Geodesics Of Twisted-Sasaki Metric, Mathematical Sciences And Applications E-Notes, pp. 124-132, 10.36753/mathenot.710119.
Zagane, AbderrahÄąm; Djaa, Nour El Houda, 2022, Notes About A Harmonicity On The Tangent Bundle With Vertical Rescaled Metric, International Electronic Journal Of Geometry, 10.36890/iejg.1033998.