Projective Cross-ratio on Hypercomplex Numbers
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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 Möbius transformations. Applications to the geometry of conic sections and Möbiusinvariant metrics on the upper half-plane are also given.
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- Projective Cross-ratio on Hypercomplex Numbers
Advances in Applied Clifford Algebras
Volume 23, Issue 1 , pp 1-14
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- Online ISSN
- SP Birkhäuser Verlag Basel
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- Projective linear group
- Möbius transformation
- Special linear group
- Clifford algebra
- dual numbers
- double numbers
- Sky Brewer (1)
- Author Affiliations
- 1. School of Mathematics, Leeds University, Leeds, LS2 9JT, England