Differential Invariants of Self-Dual conformal structures
Differential Geometry
2017-03-08 v1 Mathematical Physics
math.MP
Abstract
We compute the quotient of the self-duality equation for conformal metrics by the action of the diffeomorphism group. We also determine Hilbert polynomial, counting the number of independent scalar differential invariants depending on the jet-order, and the corresponding Poincar\'e function. We describe the field of rational differential invariants separating generic orbits of the diffeomorphism pseudogroup action, resolving the local recognition problem for self-dual conformal structures.
Keywords
Cite
@article{arxiv.1605.01447,
title = {Differential Invariants of Self-Dual conformal structures},
author = {Boris Kruglikov and Eivind Schneider},
journal= {arXiv preprint arXiv:1605.01447},
year = {2017}
}