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 …

Let (M, 1) be a Riemannian manifold and T2M be its second order tangent bundle. In this
paper, we deal with certain characterizations of F− geodesics (which generalize both …

The paper deals with the twisted Sasaki metric on the unit tangent bundle of n–dimensional
Riemannian manifold Mn. The main purpose of the research is to find deformations that …

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 …

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

We define in this note a natural metric over the tangent bundle $ TM $ by using a vertical
deformation of Sasaki metric. First we present the geometric result concerning the Levi …

Let (Mm, g) be an m-dimensional Riemannian manifold and TM be its tangent bundle. In this
paper, we introduce a new class of natural metrics with respect to g non-rigid on TM, called …

This paper, we define the Mus-Gradient metric on tangent bundle TM by a deformation non-
conform of Sasaki metric over an n-dimensional Riemannian manifold (M,g). First we …

In this paper, we introduce a vertical generalized Berger type deformed Sasaki metric on the
tangent bundle TM over an anti-paraK a hler manifold as a new natural metric. Firstly, we …