Journals / Turkish Journal of Mathematics / 2014 / Cilt: 38 - Sayı: 3

Norden structures of Hessian type

Pages
462–469
DOI
—

Abstract

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.

Özet

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.

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