Differential Invariants and Symmetry: Riemannian metrics and beyond

Abstract

We discuss Lie-Tresse theorem for the pseudogroup of diffeomorphisms acting on the space of (pseudo-)Riemannian metrics, and relate this to existence of Killing vector fields. Then we discuss the impact of symmetry in the general case.

References in corpus (1)

• Invariant characterization of Liouville metrics and polynomial integrals