Marsden--Meyer--Weinstein reduction for $k$-contact field theories

TL;DR

This paper develops a Marsden--Meyer--Weinstein reduction method for $k$-contact field theories, providing new techniques and clarifying previous contact reduction literature through illustrative examples.

Contribution

It introduces a novel $k$-contact reduction framework and clarifies inaccuracies in existing contact reduction literature.

Findings

Developed a Marsden--Meyer--Weinstein $k$-contact reduction method

Provided several mathematical and physical examples

Reviewed and clarified previous contact reduction literature

Abstract

This work devises a Marsden--Meyer--Weinstein $k$-contact reduction. Our techniques are illustrated with several examples of mathematical and physical relevance. As a byproduct, we review the previous contact reduction literature so as to clarify and to solve some inaccuracies.