Geodesic
Geometry of Mus-Sasaki metric
Communications in Mathematics, Tome 26 (2018) no. 2, pp. 113-126.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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.
Classification : 53A45, 53C20, 58E20
Keywords: Horizontal lift; vertical lift; Mus-Sasaki metric; scalar curvature. 
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     author = {Zagane, Abderrahim and Djaa, Mustapha},
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Zagane, Abderrahim; Djaa, Mustapha. Geometry of Mus-Sasaki metric. Communications in Mathematics, Tome 26 (2018) no. 2, pp. 113-126. http://geodesic.mathdoc.fr/item/COMIM_2018__26_2_a2/