Curvature properties of Weyl geometries

TL;DR

This paper explores the relationship between geometric structures and curvature decompositions within Weyl geometry, aiming to deepen understanding of its curvature properties.

Contribution

It provides new insights into the curvature decompositions specific to Weyl geometries, highlighting their geometric implications.

Findings

Identified key curvature decomposition relations in Weyl geometry

Clarified the geometric significance of curvature components

Enhanced theoretical understanding of Weyl curvature properties

Abstract

We examine relations between geometry and the associated curvature decompositions in Weyl geometry.