Title of article :
Norden structures of Hessian type
Author/Authors :
SALIMOV, ARIF Ataturk University - Faculty of Science - Department of Mathematics, Turkey , GEZER, AYDIN Ataturk University - Faculty of Science - Department of Mathematics, Turkey
Abstract :
In this paper, we show that Kahler (para-Kahler) manifolds admit a Norden–Hessian metric h = ∇^2 f if the function f is holomorphic (para-holomorphic), and we further consider the existence condition of para-Kahler structures for Norden–Hessian metrics.
Keywords :
Hessian structure , Norden manifold , holomorphic (para , holomorphic) function , para , Kahler metric
Journal title :
Turkish Journal of Mathematics
Journal title :
Turkish Journal of Mathematics