Projective Cross-ratio on Hypercomplex Numbers

@article{Brewer2013ProjectiveCO,
  title={Projective Cross-ratio on Hypercomplex Numbers},
  author={Sky J Brewer},
  journal={Advances in Applied Clifford Algebras},
  year={2013},
  volume={23},
  pages={1-14}
}
  • Sky J Brewer
  • Published 9 March 2012
  • Mathematics
  • Advances in Applied Clifford Algebras
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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