English

Characteristic forms of complex Cartan geometries

Differential Geometry 2019-11-12 v2 Algebraic Geometry

Abstract

We calculate relations on characteristic classes which are obstructions preventing closed K\"ahler manifolds from carrying holomorphic Cartan geometries. We apply these relations to give global constraints on the phase spaces of complex analytic determined and underdetermined systems of differential equations.

Keywords

Cite

@article{arxiv.0704.2555,
  title  = {Characteristic forms of complex Cartan geometries},
  author = {Benjamin McKay},
  journal= {arXiv preprint arXiv:0704.2555},
  year   = {2019}
}
R2 v1 2026-06-21T08:20:15.021Z