Projective Cross-Ratio on Hypercomplex Numbers

Details Projective Cross-Ratio on Hypercomplex Numbers Projective Cross-Ratio on Hypercomplex Numbers

2012-03-09

arxiv.org/abs/1203.2554v3

Mathematics

Complex Variables

Scientific paper

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.

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