Conformal Differential Invariants
arXiv:1604.06559 · doi:10.1016/j.geomphys.2016.06.008
Abstract
We compute the Hilbert polynomial and the Poincare function counting the number of fixed jet-order differential invariants of conformal metric structures modulo local diffeomorphisms, and we describe the field of rational differential invariants separating generic orbits of the diffeomorphism pseudogroup action. This resolves the local recognition problem for conformal structures.