Hamilton-Jacobi Theory and Moving Frames

TL;DR

This paper explores the relationship between Hamilton-Jacobi theory and group actions, illustrating their connection through specific examples to enhance understanding of variable separation methods.

Contribution

It provides a detailed analysis linking Hamilton-Jacobi theory with group actions, offering new insights through concrete examples.

Findings

Demonstrates the connection between Hamilton-Jacobi theory and group actions

Provides examples illustrating variable separation techniques

Enhances understanding of symmetry in differential equations

Abstract

The interplay between the Hamilton-Jacobi theory of orthogonal separation of variables and the theory of group actions is investigated based on concrete examples.