Moving frames for cotangent bundles

TL;DR

This paper extends Cartan's moving frames method to cotangent bundles and their sub-bundles with non-holonomic constraints, providing a new geometric framework for analyzing constrained systems.

Contribution

It develops a novel application of moving frames to cotangent bundles and constrained sub-bundles, enhancing geometric tools for non-holonomic mechanics.

Findings

Framework for applying moving frames to cotangent bundles

Analysis of non-holonomic constrained sub-bundles

Potential applications in geometric mechanics

Abstract

Cartan's moving frames method is a standard tool in riemannian geometry. We set up the machinery for applying moving frames to cotangent bundles and its sub-bundles defined by non-holonomic constraints.