English

Conformal Differential Invariants

Differential Geometry 2017-03-08 v1

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.

Keywords

Cite

@article{arxiv.1604.06559,
  title  = {Conformal Differential Invariants},
  author = {Boris Kruglikov},
  journal= {arXiv preprint arXiv:1604.06559},
  year   = {2017}
}
R2 v1 2026-06-22T13:38:22.351Z