Aydin Gezer

Notes on the Rescaled Sasaki Type Metric on the Cotangent Bundle

Abstract Let (M,g) be an n -dimensional Riemannian manifold and T * M be its cotangent bundle equipped with the rescaled Sasaki type metric. In this paper, we firstly study the paraholomorphy property of the rescaled Sasaki type metric by using some compatible paracomplex structures on T * M . Second, we construct locally decomposable Golden Riemannian structures on T * M . Finally we investigate curvature properties of T * M .

DIAGONAL LIFTS OF TENSOR FIELDS OF TYPE (1;1) ON CROSS-SECTIONS IN TENSOR BUNDLES AND ITS APPLICATIONS

The main purpose of this paper is to investigate diagonal lift of tensor fields of type (1, 1) from manifold to its tensor bundle of type (p, q) and to prove that when a manifold Mn admits a Kahlerian structure (φ, g), its tensor bundle of type (p, q) admits an complex structure.

On metric connections with torsion on the cotangent bundle with modified Riemannian extension

Let M be an n-dimensional differentiable manifold equipped with a torsion-free linear connection

On golden semisymmetric metric

\nabla

-connections

∇ and

On the second-order tangent bundle with horizontal lift connection

T^{*}M