Geometry of Mus-Sasaki metric

Abderrahim Zagane, Mustapha Djaa
2018 Communications in Mathematics  
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.
doi:10.2478/cm-2018-0008 fatcat:g6asvjha3fblba2bunjiqbtf2a