On Almost Norden Statistical Manifolds

Entropy (Basel). 2022 May 27;24(6):758. doi: 10.3390/e24060758.

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; almost complex structure; complex conjugate connections; dual connections; statistical manifold.

Grants and funding

This research received no external funding.