Norden structures of Hessian type

Authors: ARIF SALIMOV, AYDIN GEZER

Abstract: In this paper, we show that Kähler (para-Kähler) manifolds admit a Norden--Hessian metric h = \nabla^2f if the function f is holomorphic (para-holomorphic), and we further consider the existence condition of para-Kähler structures for Norden--Hessian metrics.

Keywords: Hessian structure, Norden manifold, holomorphic (para-holomorphic) function, para-Kähler metric

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