Deformations of Riemann Surfaces
Complex Variables
2014-10-28 v1
Abstract
We prove that every Riemann surface not isomorphic to the Riemann sphere admits an infinitesimal deformation of the complex structure. The proof is based in an investigation of the length of geodesics for the Kobayashi/Poincare metric.
Cite
@article{arxiv.1410.7086,
title = {Deformations of Riemann Surfaces},
author = {Jörg Winkelmann},
journal= {arXiv preprint arXiv:1410.7086},
year = {2014}
}
Comments
15 pages