On conformally invariant differential operators
微分几何
2007-05-23 v3
摘要
We construct new families of conformally invariant differential operators acting on densities. We introduce a simple, direct approach which shows that all such operators arise via this construction when the degree is bounded by the dimension. The method relies on a study of well-known transformation laws and on Weyl's theory regarding identities holding ``formally'' vs. ``by substitution''. We also illustrate how this new method can strengthen existing results in the parabolic invariant theory for conformal geometries.
引用
@article{arxiv.math/0608771,
title = {On conformally invariant differential operators},
author = {Spyros Alexakis},
journal= {arXiv preprint arXiv:math/0608771},
year = {2007}
}
备注
50 pages, revised version