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$g$ -natural metrics of constant curvature on unit tangent sphere bundles

M. T. K. Abbassi, Giovanni Calvaruso (2012)

Archivum Mathematicum

We completely classify Riemannian $g$ -natural metrics of constant sectional curvature on the unit tangent sphere bundle $T_{1} M$ of a Riemannian manifold $(M, g)$ . Since the base manifold $M$ turns out to be necessarily two-dimensional, weaker curvature conditions are also investigated for a Riemannian $g$ -natural metric on the unit tangent sphere bundle of a Riemannian surface.

Generalized Lie bialgebroids and strong Jacobi-Nijenhuis structures.

D. Iglesias-Ponte, J. C. Marrero (2002)

Extracta Mathematicae

Generalized m-quasi-Einstein metric within the framework of Sasakian and K-contact manifolds

Amalendu Ghosh (2015)

Annales Polonici Mathematici

We consider generalized m-quasi-Einstein metric within the framework of Sasakian and K-contact manifolds. First, we prove that a complete Sasakian manifold M admitting a generalized m-quasi-Einstein metric is compact and isometric to the unit sphere $S^{2 n + 1}$ . Next, we generalize this to complete K-contact manifolds with m ≠ 1.

Generalized polarized manifolds.

Azzouz Awane (2008)

Revista Matemática Complutense

Displaying 1 – 4 of 4

g -natural metrics of constant curvature on unit tangent sphere bundles

Generalized Lie bialgebroids and strong Jacobi-Nijenhuis structures.

Generalized m-quasi-Einstein metric within the framework of Sasakian and K-contact manifolds

Generalized polarized manifolds.

Currently displaying 1 – 4 of 4

$g$ -natural metrics of constant curvature on unit tangent sphere bundles