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 …

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 …

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 …

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 …

The main purpose of the paper is to investigate geodesics on the tangent bundle with
respect to the twisted-Sasaki metric. We establish a necessary and sufficient conditions …

The current algorithms use either the full form or the Schur decomposition of the matrix in the
inverse scaling and squaring method to compute the matrix logarithm. The inverse scaling …

In this paper, we introduce the vertical rescaled generalized Cheeger-Gromoll metric on the
tangent bundle TM over an m-dimensional Riemannian manifold (M, g), as a natural metric …