Projective Cross-Ratio on Hypercomplex Numbers

2012/03/31 by Sky Brewer · 1 citation
Mathematics · #math.CV #math.MG #msc:51F20 #msc:51M99 #msc:51N25 #msc:53A35

paper · pdf · doi:10.1007/s00006-012-0335-7

arxiv created 2012/06/04 · arxiv updated 2012/06/05

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.

Cited by

• Hypercomplex number [wikipedia]

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