Add to ORKGAbstract. There is a class of metrics on the tangent bundle TM of a Rie-mannian manifold (M; g) (oriented, or non-oriented, respectively), which are 'naturally constructed ' from the base metric g [15]. We call them \g-natural metrics " on TM. To our knowledge, the geometric properties of these general metrics have not been studied yet. In this paper, generalizing a process of Musso-Tricerri (cf. [18]) of nding Riemannian metrics on TM from some quadratic forms on OM Rm to nd metrics (not necessary Riemannian) on TM, we prove that all g-natural metrics on TM can be obtained by Musso-Tricerri's generalized scheme. We calculate also the Levi-Civita connection of Riemannian g-natural metrics on TM. As application, we sort o...
AbstractLet (M,g) be an n-dimensional Riemannian manifold and TM its tangent bundle. The purpose of ...
AbstractLet (M,g) be a compact Riemannian manifold and T1M its unit tangent sphere bundle. Unit vect...
We construct a three-parameter family of contact metric structures on the unit tangent sphere bundle...
summary:There is a class of metrics on the tangent bundle $TM$ of a Riemannian manifold $(M,g)$ (ori...
E. Musso and F. Tricerri had given a process of construction of Riemannian metrics on tangent bundle...
Let (M; g) be an n-dimensional Riemannian manifold and TM its tangent bundle equipped with Riemannia...
WOS: 000429192500002Let (M, g) be an n-dimensional Riemannian manifold and TM its tangent bundle equ...
Traditionally, the Riemannian geometry of tangent and unit tangent bundles was related to the Sasaki...
summary:In [7], it is proved that all $g$-natural metrics on tangent bundles of $m$-dimen\-sional Ri...
In this paper, we consider the tangent bundle of a Riemannian manifold (M, g) with g-natural metrics...
summary:We completely classify Riemannian $g$-natural metrics of constant sectional curvature on the...
Let (TM, G) and (T1M, ˜G ) respectively denote the tangent bundle and the unit tangent sphere bundle...
We calculate the curvature tensor of an arbitrary Riemannian g-natural metric on the unit tangent sp...
Let $(M,g)$ be a Riemannian manifold. When $M$ is compact and the tangent bundle $TM$ is equipped wi...
AbstractIt is well known that if the tangent bundle TM of a Riemannian manifold (M,g) is endowed wit...
AbstractLet (M,g) be an n-dimensional Riemannian manifold and TM its tangent bundle. The purpose of ...
AbstractLet (M,g) be a compact Riemannian manifold and T1M its unit tangent sphere bundle. Unit vect...
We construct a three-parameter family of contact metric structures on the unit tangent sphere bundle...
summary:There is a class of metrics on the tangent bundle $TM$ of a Riemannian manifold $(M,g)$ (ori...
E. Musso and F. Tricerri had given a process of construction of Riemannian metrics on tangent bundle...
Let (M; g) be an n-dimensional Riemannian manifold and TM its tangent bundle equipped with Riemannia...
WOS: 000429192500002Let (M, g) be an n-dimensional Riemannian manifold and TM its tangent bundle equ...
Traditionally, the Riemannian geometry of tangent and unit tangent bundles was related to the Sasaki...
summary:In [7], it is proved that all $g$-natural metrics on tangent bundles of $m$-dimen\-sional Ri...
In this paper, we consider the tangent bundle of a Riemannian manifold (M, g) with g-natural metrics...
summary:We completely classify Riemannian $g$-natural metrics of constant sectional curvature on the...
Let (TM, G) and (T1M, ˜G ) respectively denote the tangent bundle and the unit tangent sphere bundle...
We calculate the curvature tensor of an arbitrary Riemannian g-natural metric on the unit tangent sp...
Let $(M,g)$ be a Riemannian manifold. When $M$ is compact and the tangent bundle $TM$ is equipped wi...
AbstractIt is well known that if the tangent bundle TM of a Riemannian manifold (M,g) is endowed wit...
AbstractLet (M,g) be an n-dimensional Riemannian manifold and TM its tangent bundle. The purpose of ...
AbstractLet (M,g) be a compact Riemannian manifold and T1M its unit tangent sphere bundle. Unit vect...
We construct a three-parameter family of contact metric structures on the unit tangent sphere bundle...