Riemannian Geometry and the Fundamental Theorem of Algebra
Differential Geometry
2011-06-07 v1
Abstract
If a (non-constant) polynomial has no zero, then a certain Riemannian metric is constructed on the two dimensional sphere. Several geometric arguments are then shown to contradict this fact.
Keywords
Cite
@article{arxiv.1106.0924,
title = {Riemannian Geometry and the Fundamental Theorem of Algebra},
author = {J. M. Almira and A. Romero},
journal= {arXiv preprint arXiv:1106.0924},
year = {2011}
}
Comments
4 pages. Submitted to a Journal