Let TM be the tangent bundle over an almost anti-paraHermitian manifold endowed with
Berger type deformed Sasaki metric g B s. In this paper, first, we obtain the Levi-Civita …

In this paper, we introduce a new class of metrics on the cotangent bundle T* M over an m-
dimensional Riemannian manifold (M; g) as a new natural metric with respect to g non-rigid …

Ricci solitons arose in proof the Poincare conjecture by R. Hamilton and G. Perelman. The
first example of a noncompact steady Ricci soliton on a plane was found by R. Hamilton …

In this paper, we introduce the φ-Sasaki metric on the tangent bundle. Firstly, we
characterize the Riemannian curvature, the sectional curvature and the scalar curvature on …

In this paper, we introduce the Generalized Cheeger-Gromoll metric on the tangent bundle
TM, as a natural metric on TM. We establish a necessary and suffi cient conditions under …

Let M be a Kählerian manifold equipped with an almost complex structure J and a
Riemannian metric g, and let TM be its tangent bundle with the Berger type deformed Sasaki …

In this paper, we introduce the deformed-Sasaki metric on the tangent bundle TM over an m-
dimensional Riemannian manifold (M, g), as a new natural metric on TM. We establish a …

This paper aims to study the Berger type deformed Sasaki metric gBS on the second order
tangent bundle T 2 M over a bi-Kählerian manifold M. The authors firstly find the Levi-Civita …

In this paper, we introduce harmonic sections of tangent bundles with horizontal Sasaki
gradient metric, then we establish necessary and sufficient conditions under which a vector …

In this paper, we study the geodesics on the tangent bundle TM with respect to the vertical
rescaled Berger deformation metric over an anti-paraK a hler manifold (M,φ,g). In this case …