A short geometric proof of the Zalcman and Bieberbach conjectures
Complex Variables
2014-08-11 v1
Abstract
We show that complex geometric features of Teichmuller spaces create explicitly the extremals of generic homogeneous holomorphic functionals on univalent functions. In particular this gives proofs of the well-known Zalcman and Bieberbach conjectures and many new distortion theorems.
Keywords
Cite
@article{arxiv.1408.1948,
title = {A short geometric proof of the Zalcman and Bieberbach conjectures},
author = {Samuel L. Krushkal},
journal= {arXiv preprint arXiv:1408.1948},
year = {2014}
}
Comments
This is an improved and shortened version of arXiv:1109.4646