We calculate the curvature tensor of an arbitrary Riemannian g-natural metric on the unit tangent sphere bundle T1M of a Riemannian manifold M. This calculation is the fundamental tool to generalize classical theorems on the unit tangent sphere bundle, equipped with either the Sasaki metric or the standard contact metric structure
Let (M; g) be an n-dimensional Riemannian manifold and TM its tangent bundle equipped with Riemannia...
We study some properties of projective curvature tensor in $3$- dimensional generalized ($\kappa$, $...
AbstractWe show that there exists a family of Riemannian metrics on the tangent bundle of a two-sphe...
summary:We completely classify Riemannian $g$-natural metrics of constant sectional curvature on the...
We consider unit tangent sphere bundle of a Riemannian manifold $ (M,g) $ as a $ (2n+1) $-dimensiona...
In this paper, we consider the tangent bundle of a Riemannian manifold (M, g) with g-natural metrics...
AbstractLet (M,g) be a compact Riemannian manifold and T1M its unit tangent sphere bundle. Unit vect...
Traditionally, the Riemannian geometry of tangent and unit tangent bundles was related to the Sasaki...
Let $(M, g)$ be a compact Riemannian manifold and $T_1M$ its unit tangent sphere bundle. We equip $...
We construct a three-parameter family of contact metric structures on the unit tangent sphere bundle...
E. Musso and F. Tricerri had given a process of construction of Riemannian metrics on tangent bundle...
Let (TM, G) and (T1M, ˜G ) respectively denote the tangent bundle and the unit tangent sphere bundle...
WOS: 000429192500002Let (M, g) be an n-dimensional Riemannian manifold and TM its tangent bundle equ...
summary:There is a class of metrics on the tangent bundle $TM$ of a Riemannian manifold $(M,g)$ (ori...
Abstract. There is a class of metrics on the tangent bundle TM of a Rie-mannian manifold (M; g) (ori...
Let (M; g) be an n-dimensional Riemannian manifold and TM its tangent bundle equipped with Riemannia...
We study some properties of projective curvature tensor in $3$- dimensional generalized ($\kappa$, $...
AbstractWe show that there exists a family of Riemannian metrics on the tangent bundle of a two-sphe...
summary:We completely classify Riemannian $g$-natural metrics of constant sectional curvature on the...
We consider unit tangent sphere bundle of a Riemannian manifold $ (M,g) $ as a $ (2n+1) $-dimensiona...
In this paper, we consider the tangent bundle of a Riemannian manifold (M, g) with g-natural metrics...
AbstractLet (M,g) be a compact Riemannian manifold and T1M its unit tangent sphere bundle. Unit vect...
Traditionally, the Riemannian geometry of tangent and unit tangent bundles was related to the Sasaki...
Let $(M, g)$ be a compact Riemannian manifold and $T_1M$ its unit tangent sphere bundle. We equip $...
We construct a three-parameter family of contact metric structures on the unit tangent sphere bundle...
E. Musso and F. Tricerri had given a process of construction of Riemannian metrics on tangent bundle...
Let (TM, G) and (T1M, ˜G ) respectively denote the tangent bundle and the unit tangent sphere bundle...
WOS: 000429192500002Let (M, g) be an n-dimensional Riemannian manifold and TM its tangent bundle equ...
summary:There is a class of metrics on the tangent bundle $TM$ of a Riemannian manifold $(M,g)$ (ori...
Abstract. There is a class of metrics on the tangent bundle TM of a Rie-mannian manifold (M; g) (ori...
Let (M; g) be an n-dimensional Riemannian manifold and TM its tangent bundle equipped with Riemannia...
We study some properties of projective curvature tensor in $3$- dimensional generalized ($\kappa$, $...
AbstractWe show that there exists a family of Riemannian metrics on the tangent bundle of a two-sphe...