4 papers
On the Cheeger-Gromoll metric
Melek Aras
The purpose of this paper is to investigate applications the covariant derivatives, killing vector fields and to calculate the components of the curvature tensor CGR of the Cheeger…
On the synectic metric in the tangent bundle of a Riemannian manifold
Melek Aras
The purpose of this paper is to investigate applications the covariant derivatives of the covector fields and killing vector fields with respect to the synectic lift a in a the Rie…
Affine Connection Induced from The Horizontal lift on a Cross-section
Melek Aras
The main purpose of present paper is to study the affine connection induced from the horizontal lift on the cross-section determined by a vector field in Mn with respect to the ada…
Killing vector field of the metric II+III on Tangent Bundle
Melek Aras
The main purpose of the paper is to investigate Killing vector field on the tangent bundle T(M_{n}) of the Riemannian manifold with respect to the Levi-Civita connection of the met…