A note on the relation between joint and differential invariants
- Authors: Blázquez-Sanz D.1, Díaz Arboleda J.S.1
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Affiliations:
- Universidad Nacional de Colombia—Sede Medellín
- Issue: Vol 37, No 1 (2016)
- Pages: 21-35
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/197290
- DOI: https://doi.org/10.1134/S199508021601008X
- ID: 197290
Cite item
Abstract
We discuss the general properties of the theory of joint invariants of a smooth Lie group action in a manifold. Many of the known results about differential invariants, including Lie’s finiteness theorem, have simpler versions in the context of joint invariants. We explore the relation between joint and differential invariants, and we expose a general method that allows to compute differential invariants from joint invariants.
Keywords
About the authors
D. Blázquez-Sanz
Universidad Nacional de Colombia—Sede Medellín
Author for correspondence.
Email: dblazquezs@unal.edu.co
Colombia, Medellin
J. S. Díaz Arboleda
Universidad Nacional de Colombia—Sede Medellín
Email: dblazquezs@unal.edu.co
Colombia, Medellin