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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.

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