Norden structures of Hessian type

In this paper, we show that Kähler (para-Kähler) manifolds admit a Norden--Hessian metric h = \nabla2f if the function f is holomorphic (para-holomorphic), and we further consider the existence condition of para-Kähler structures for Norden--Hessian metrics.

Anahtar Kelimeler:

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

Norden structures of Hessian type

Keywords:

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

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