We consider unit tangent sphere bundle of a Riemannian manifold $ (M,g) $ as a $ (2n+1) $-dimensional manifold and we equip it with pseudo-Riemannian $ g $-natural almost contact B-metric structure. Then, by computing coefficients of the structure tensor $ F$, we completely characterize the unit tangent sphere bundle equipped to this structure, with respect to the relevant classification of almost contact B-metric structures, and determine a class such that the unit tangent sphere bundle with mentioned structure belongs to it. Also, we find some curvature conditions such that the mentioned structure satisfies each of eleven basic classes
We introduce a systematic study of contact structures with pseudo-Riemannian associated metrics, emp...
The paper is concerned with the Kaluza-Klein metric on the tangent bundle over a Riemannian manifold...
Abstract. The space of the structure (0,3)-tensors of the covariant derivatives of the structure end...
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...
We calculate the curvature tensor of an arbitrary Riemannian g-natural metric on the unit tangent sp...
summary:We completely classify Riemannian $g$-natural metrics of constant sectional curvature on the...
We construct a three-parameter family of contact metric structures on the unit tangent sphere bundle...
Starting from g-natural pseudo-Riemannian metrics of suitable signature on the unit tangent sphere ...
Let (TM, G) and (T1M, ˜G ) respectively denote the tangent bundle and the unit tangent sphere bundle...
summary:The object of investigations are almost contact B-metric manifolds which are derived as a pr...
summary:In this paper, the standard almost complex structure on the tangent bunle of a Riemannian ma...
Let $(M, g)$ be a compact Riemannian manifold and $T_1M$ its unit tangent sphere bundle. We equip $...
summary:Let $(M,g,J)$ be an almost Hermitian manifold, then the tangent bundle $TM$ carries a class ...
We consider a natural condition determining a large class of almost contact metric structures. We st...
We introduce a systematic study of contact structures with pseudo-Riemannian associated metrics, emp...
The paper is concerned with the Kaluza-Klein metric on the tangent bundle over a Riemannian manifold...
Abstract. The space of the structure (0,3)-tensors of the covariant derivatives of the structure end...
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...
We calculate the curvature tensor of an arbitrary Riemannian g-natural metric on the unit tangent sp...
summary:We completely classify Riemannian $g$-natural metrics of constant sectional curvature on the...
We construct a three-parameter family of contact metric structures on the unit tangent sphere bundle...
Starting from g-natural pseudo-Riemannian metrics of suitable signature on the unit tangent sphere ...
Let (TM, G) and (T1M, ˜G ) respectively denote the tangent bundle and the unit tangent sphere bundle...
summary:The object of investigations are almost contact B-metric manifolds which are derived as a pr...
summary:In this paper, the standard almost complex structure on the tangent bunle of a Riemannian ma...
Let $(M, g)$ be a compact Riemannian manifold and $T_1M$ its unit tangent sphere bundle. We equip $...
summary:Let $(M,g,J)$ be an almost Hermitian manifold, then the tangent bundle $TM$ carries a class ...
We consider a natural condition determining a large class of almost contact metric structures. We st...
We introduce a systematic study of contact structures with pseudo-Riemannian associated metrics, emp...
The paper is concerned with the Kaluza-Klein metric on the tangent bundle over a Riemannian manifold...
Abstract. The space of the structure (0,3)-tensors of the covariant derivatives of the structure end...