Add to ORKGNatural metrics provide a way to induce a metric on the tangent bundle from the metric on its base manifold. The most studied type is the Sasaki metric, which applies the base metric separately to the vertical and horizontal components. We study a more general class of metrics which introduces interactions between the vertical and horizontal components, with scalar weights. Additionally, we explicitly clarify how to apply our and other induced metrics on the tangent bundle to vector fields where the vertical component is not constant along the fibers. We give application to the Special Orthogonal Group SO(3) as an example.Published versio
The aim of the present work is to study and establish conditions for anLP-Sasakian manifold on the t...
The tangent bundle of a Riemannian manifold (M, g) with a non-degenerate g− natural metric G that ad...
Abstract. There is a class of metrics on the tangent bundle TM of a Rie-mannian manifold (M; g) (ori...
We survey on the geometry of the tangent bundle of a Riemannian manifold, endowed with the classical...
Purpose – Let (M, g) be a n-dimensional smooth Riemannian manifold. In the present paper, the author...
Traditionally, the Riemannian geometry of tangent and unit tangent bundles was related to the Sasaki...
summary:There is a class of metrics on the tangent bundle $TM$ of a Riemannian manifold $(M,g)$ (ori...
This paper is a survey on recent results obtained in collaboration with M.T.K. Abbassi and D. Perron...
summary:In this paper, we introduce the Mus-Sasaki metric on the tangent bundle $TM$ as a new natura...
summary:Let $(M,g)$ be a Riemannian manifold, $L(M)$ its frame bundle. We construct new examples of ...
We compute the curvature tensor of the tangent bundle of a Riemannian manifold endowed with a natura...
AbstractThe main aim of this survey paper is to write a detailed and unified presentation of some of...
Let (M; [g]) be a Weyl manifold and TM its tangent bundle equipped withthe horizontal lift of the ba...
Let $(M,g)$ be a Riemannian manifold. When $M$ is compact and the tangent bundle $TM$ is equipped wi...
AbstractLet (M,g) be a compact Riemannian manifold and T1M its unit tangent sphere bundle. Unit vect...
The aim of the present work is to study and establish conditions for anLP-Sasakian manifold on the t...
The tangent bundle of a Riemannian manifold (M, g) with a non-degenerate g− natural metric G that ad...
Abstract. There is a class of metrics on the tangent bundle TM of a Rie-mannian manifold (M; g) (ori...
We survey on the geometry of the tangent bundle of a Riemannian manifold, endowed with the classical...
Purpose – Let (M, g) be a n-dimensional smooth Riemannian manifold. In the present paper, the author...
Traditionally, the Riemannian geometry of tangent and unit tangent bundles was related to the Sasaki...
summary:There is a class of metrics on the tangent bundle $TM$ of a Riemannian manifold $(M,g)$ (ori...
This paper is a survey on recent results obtained in collaboration with M.T.K. Abbassi and D. Perron...
summary:In this paper, we introduce the Mus-Sasaki metric on the tangent bundle $TM$ as a new natura...
summary:Let $(M,g)$ be a Riemannian manifold, $L(M)$ its frame bundle. We construct new examples of ...
We compute the curvature tensor of the tangent bundle of a Riemannian manifold endowed with a natura...
AbstractThe main aim of this survey paper is to write a detailed and unified presentation of some of...
Let (M; [g]) be a Weyl manifold and TM its tangent bundle equipped withthe horizontal lift of the ba...
Let $(M,g)$ be a Riemannian manifold. When $M$ is compact and the tangent bundle $TM$ is equipped wi...
AbstractLet (M,g) be a compact Riemannian manifold and T1M its unit tangent sphere bundle. Unit vect...
The aim of the present work is to study and establish conditions for anLP-Sasakian manifold on the t...
The tangent bundle of a Riemannian manifold (M, g) with a non-degenerate g− natural metric G that ad...
Abstract. There is a class of metrics on the tangent bundle TM of a Rie-mannian manifold (M; g) (ori...