Authors: Abderrahim Zagane ; Mustapha Djaa 0000-0001-9339-3787##NULLAbderrahim Zagane;Mustapha Djaa
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.