# Conjugate connections and statistical structures on almost Norden manifolds

## TL;DR

This paper explores the relationships between conjugate connections, Norden metrics, and almost complex structures on almost Norden manifolds, and investigates statistical structures within this geometric context.

## Contribution

It introduces new conjugate connections related to Norden metrics and examines statistical structures on almost Norden manifolds, expanding understanding of their geometric properties.

## Key findings

- Derived conjugate connections of Levi-Civita connections.
- Analyzed statistical structures on almost Norden manifolds.
- Established relations between conjugate connections and the almost complex structure.

## Abstract

Relations between conjugate connections with respect to the pair of Norden metrics and to the almost complex structure on almost Norden manifolds are studied. Conjugate connections of the Levi-Civita connections induced by the Norden metrics are obtained. Statistical structures on almost Norden manifolds are considered.