Differential Invariants of Linear Symplectic Actions

2020/10/15 by Jensen, Jørn Olav, Kruglikov, Boris
#Differential Geometry (math.DG) #FOS: Mathematics #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.2010.08024

Abstract

We consider the equivalence problem for symplectic and conformal symplectic group actions on submanifolds and functions of symplectic and contact linear spaces. This is solved by computing differential invariants via the Lie-Tresse theorem.

Related

• Joint Invariants of Linear Symplectic Actions
• Differential invariants of the motion group actions
• A note on the relation between joint and differential invariants
• Hamiltonian and symplectic symmetries: an introduction
• On structure of linear differential operators, acting in line bundles