Invariants in c U p-Geometry

TL;DR

This paper introduces a method to construct invariant differential operators on statistical manifolds that unify conformal and projective geometric properties, advancing the understanding of geometric structures in statistical contexts.

Contribution

It presents a novel construction of c U p-invariant differential operators that combine conformal and projective geometries on statistical manifolds.

Findings

Construction of c U p-invariant differential operators.

Operators are canonically associated to the geometry.

Unification of conformal and projective geometric properties.

Abstract

This note describes the construction of c U p-invariant differential operators on statistical manifolds, i.e. of operators canonically associated to a geometry which synthetizes the properties of conformal and projective geometries.