Let (M, g) be an n-dimensional smooth Riemannian manifold. In the present paper, we
introduce a new class of natural metrics denoted by G f and called the vertical rescaled …

Let (M,g) be a n-dimensional smooth Riemannian manifold. In the present paper, we
introduce a new class of natural metrics denoted by G^f,h and called twisted Sasaki matric …

In this paper, we introduce the vertical rescaled berger deformation metric on the tangent
bundle TM over an anti-paraKähler manifold (M2m, ϕ, g) as a new natural metric with …

In this article, we present some results concerning the harmonicity on the tangent bundle
equipped with the vertical rescaled metric. We establish necessary and sufficient conditions …

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 …

In this paper, we introduce a vertically rescaled Bergertype deformed Sasaki metric on the
tangent bundle TM over an antiparaKähler manifold (M, ϕ, g). We study the harmonicity of …

In this paper, we introduce the gradient Sasaki metric on the tangent bundle TM. as a new
natural metric on TM. We establish necessary and sufficient conditions under which a vector …

Let (M, g) be an n-dimensional smooth Riemannian manifold. In the present paper, we
introduce a new class of natural metrics denoted by G and called the Mus-Cheeger-Gromoll …

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 …

Purpose Let (M, g) be an-dimensional smooth Riemannian manifold. In the present paper,
the authors introduce a new class of natural metrics denoted by gf and called gradient …