2014/10/29 by David Blázquez-Sanz, Blázquez-Sanz, David, Juan Sebastián Díaz Arboleda +1
Mathematics · Physics and Astronomy · #53A55 #58A20 #58A30 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Nonlinear Waves and Solitons
paper · pdf · doi:10.48550/arxiv.1410.7878
openalex publication_date 2014/10/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 allow to compute differential invariants from joint invariants.