Looking at osculating bundles through the semiholonomic equalizations

TL;DR

This paper explores higher order osculating bundles, demonstrating their identification with higher order tangent bundles, and aims to unify various concepts related to higher order tangent-like functors.

Contribution

It provides a unification of concepts by showing the identification of higher order osculating bundles with tangent bundles, clarifying their relationship.

Findings

Higher order osculating bundles are identified with higher order tangent bundles

The paper unifies different concepts of tangent-like functors

Focuses on the theoretical foundation of higher order tangent structures

Abstract

The paper glosses different forms of an introducing of higher order tangent-like functors, especially functors derived from higher order nonholonomic tangent functors. A special attention is devoted to higher order osculating bundles: their identification with higher order tangent bundles is demonstrated as the main result. Chiefly, the paper is focused on the needful unification of concepts.