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arXiv · 1203.2554

Projective Cross-Ratio on Hypercomplex Numbers

Sky Brewer
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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.

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Sky Brewer. 2012-06-04. Projective Cross-Ratio on Hypercomplex Numbers. https://doi.org/10.1007/s00006-012-0335-7

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