Riemannian Geometry and the Fundamental Theorem of Algebra

Details Riemannian Geometry and the Fundamental Theorem of Algebra Riemannian Geometry and the Fundamental Theorem of Algebra

2011-06-05

arxiv.org/abs/1106.0924v1

Mathematics

Differential Geometry

4 pages. Submitted to a Journal

Scientific paper

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.

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