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.
Saadia CHAOUİ;Abderrahım ZAGANE;Aydın GEZER;Nour Elhouda DJAA, 2023, A study on the tangent bundle with the vertical generalized Berger type deformed Sasaki metric, Hacettepe Journal of Mathematics and Statistics, 52, 5, pp. 1179-1197, 10.15672/hujms.1091758, https://doi.org/10.15672/hujms.1091758.
Abderrahım ZAGANE;Nour El Houda DJAA, 2022, Notes About a Harmonicity on the Tangent Bundle with Vertical Rescaled Metric, International Electronic Journal of Geometry, 15, 1, pp. 83-95, 10.36890/iejg.1033998, https://doi.org/10.36890/iejg.1033998.