In this paper, we show that Kähler (para-Kähler) manifolds admit a Norden--Hessian metric h = \∇2f if the function f is holomorphic (para-holomorphic), and we further consider the existence condition of para-Kähler structures for Norden--Hessian metrics.
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Salimov et al. (2014) studied this question.
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