Authors: Abderrahim 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.

• 53C15 - General geometric structures on manifolds (almost complex, almost product structures, etc.)
• 53C25 - Special Riemannian manifolds (Einstein, Sasakian, etc.)