Adapted connections on Kaehler–Norden Golden manifolds and harmonicity

Abstract

We study almost complex Norden Golden manifolds and Kaehler–Norden Golden manifolds. We derive connections adapted to almost complex Norden Golden structure of an almost complex Norden Golden manifold and of a Kaehler–Norden Golden manifold. We also set up a necessary and sufficient condition for the integrability of almost complex Norden Golden structure. We define twin Norden Golden Hessian metric for a Kaehler–Norden Golden Hessian manifold. Finally, we prove that a complex Norden Golden map between Kaehler–Norden Golden manifolds is a harmonic map.