Computation of Infinitesimals for a Group Action on a Multispace of One Independent Variable
Differential Geometry
2024-01-03 v2
Abstract
This paper expands upon the work of Peter Olver's paper [Appl. Algebra Engrg. Comm. Comput. 11 (2001), 417-436], wherein Olver uses a moving frames approach to examine the action of a group on a curve within a generalization of jet space known as multispace. Here we seek to further study group actions on the multispace of curves by computing the infinitesimals for a given action. For the most part, we proceed formally, and produce in the multispace a recursion relation that closely mimics the previously known prolongation recursion relations for infinitesimals of a group action on jet space.
Keywords
Cite
@article{arxiv.2306.13175,
title = {Computation of Infinitesimals for a Group Action on a Multispace of One Independent Variable},
author = {Peter Rock},
journal= {arXiv preprint arXiv:2306.13175},
year = {2024}
}