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.

DOI

10.3906/mat-1301-31

Keywords

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

First Page

462

Last Page

469

Recommended Citation

SALIMOV, A, & GEZER, A (2014). Norden structures of Hessian type. Turkish Journal of Mathematics 38 (3): 462-469. https://doi.org/10.3906/mat-1301-31

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