Riemann extensions in theory of the first order systems of differential equations

TL;DR

This paper explores the properties of Riemann extensions in non-Riemannian spaces derived from first order differential equations, providing insights into their geometric structure.

Contribution

It introduces a detailed analysis of Riemann extensions specific to non-Riemannian spaces associated with first order differential systems.

Findings

Characterization of Riemann extensions in non-Riemannian spaces

Identification of geometric properties of these extensions

Potential applications in differential geometry

Abstract

The properties of the Riemann extensions of nonriemannian spaces defined by the first order systems of differential equations are considered.