On Complete, Horizontal and Vertical Lifts From a Manifold With fλ(6,4) Structure to Its Cotangent Bundle

Abstract

Manifolds with fλ(6,4) structure was defined and studied in the past. Later the geometry of tangent and cotangent bundles in a differentiable manifold with fλ(6,4) structure was studied. The aim of the present paper is to study complete, horizontal and vertical lifts from a manifold with fλ(6,4)- structure to its cotangent bundle.

Novel theorems for the cotangent bundle endowed with metallic structures on a differentiable manifold

“…Almost complex structures and extensions of Norden structures on cotangent bundles of M were characterized by Nannicini ( [19] , [20] ) as being caused by complex structures on generalized tangent bundles of M . Various structures and metrics on the cotangent bundle are studied by numerous researches, Agcă [3] , Gezer and Altunbas [7] , Kankarej and Singh [14] , Ocak [21] , Salimov and Agcă [24] , Zagane et al [32] . Numerous geometries studied the tangent bundles on different manifolds and its submanifold with different connections and partial differential equations, which can be seen on ( [2] , [28] , [4] , [5] , [6] , [14] , [12] , [15] , [16] , [17] , [18] ).…”