EXPLORING THE GEOMETRY OF THE COTANGENTBUNDLE ENDOWED WITH BERGER-TYPE DEFORMEDSASAKI METRIC OVER A STANDARD KAHLER MANIFOLD

In this paper, we introduce the Berger-type deformed Sasaki metric on the cotangent bundle T * M over a standard Khler manifold (M 2m , J, g).Firstly, we compute all forms of the curvature tensors of the cotangent bundle with this metric and present some results concerning curvature properties.Secondly, we construct some almost Hermitian structures on a cotangent bundle and search conditions for these structures to be integrable.Finally, we study some geometric properties of the unit cotangent bundle that is endowed with the Berger-type deformed Sasaki metric.