English

A Conformal de Rham Complex

Complex Variables 2007-11-09 v2 Differential Geometry

Abstract

We introduce the notion of a conformal de Rham complex of a Riemannian manifold. This is a graded differential Banach algebra and it is invariant under quasiconformal maps, in particular the associated cohomology is a new quasiconformal invariant.

Keywords

Cite

@article{arxiv.0711.1286,
  title  = {A Conformal de Rham Complex},
  author = {Vladimir Gol'dshtein and Marc Troyanov},
  journal= {arXiv preprint arXiv:0711.1286},
  year   = {2007}
}

Comments

19 pages

R2 v1 2026-06-21T09:41:21.808Z