Projective Cross-Ratio on Hypercomplex Numbers
Complex Variables
2012-06-05 v4 Metric Geometry
Abstract
The paper presents a new cross-ratio of hypercomplex numbers based on projective geometry. We discuss the essential properties of the projective cross-ratio, notably its invariance under Mobius transformations. Applications to the geometry of conic sections and Mobius-invariant metrics on the upper half-plane are also given.
Keywords
Cite
@article{arxiv.1203.2554,
title = {Projective Cross-Ratio on Hypercomplex Numbers},
author = {Sky Brewer},
journal= {arXiv preprint arXiv:1203.2554},
year = {2012}
}