On Almost Norden Statistical Manifolds

Abstract

We consider a statistical connection ∇ on an almost complex manifold with (pseudo-) Riemannian metric, in particular the Norden metric. We investigate almost Norden (statistical) manifolds under the condition that the almost complex structure J is ∇-recurrent. We provide one example of a complex statistical connection.

Keywords

• almost Norden manifold
• dual connections
• statistical manifold
• complex conjugate connections
• almost complex structure