Bronze Hessian Structure and Kaehler-Norden Manifolds

Abstract

In this paper, we investigated the locally decomposable Bronze-Hessian manifolds and holomorphic Bronze Norden Hessian manifolds. We investigate that if the smooth function f:M→R is decomposable, then the triplet (M,Ψ,∇2 f) is a locally decomposable Bronze Hessian manifold, where Ψ is a Bronze structure and ∇ represents the Levi-Civita Connection of g. We obtain some conditions under which the manifold M associated with Hessian metric h and complex Bronze structure. Moreover, we investigate twin Norden Sliver Hessian metric for a Kaehler-Norden Bronze Hessian manifold.