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Keywords:
Horizontal lift; vertical lift; Mus-Sasaki metric; scalar curvature.
Horizontal lift; vertical lift; Mus-Sasaki metric; scalar curvature.
Summary:
In this paper, we introduce the Mus-Sasaki metric on the tangent bundle $TM$ as a new natural metric non-rigid on $TM$. First we investigate the geometry of the Mus-Sasakian metrics and we characterize the sectional curvature and the scalar curvature.
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