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Advances in Applied Clifford Algebras

, Volume 13, Issue 2, pp 231–240 | Cite as

The twistor structure of the biquaternionic projective point

  • Alfonso F. Agnew
Original Paper

Abstract.

Souček [1, 2] discovered an intriguing connection between the standard twistor correspondence and the biquaternionic projective line \(\mathbb{B}\mathbb{P}^{1}. \) The biquaternionic projective point, \(\mathbb{B}\mathbb{P}^{0}, \) also has twistor structure corresponding to the collection of α- or β-planes passing through the origin in spacetime. The duality between α- or β-planes is shown to correspond to the choice of left vs. right scalar action. Moreover, we find that \(\mathbb{B}\mathbb{P}^{0} \) is homeomorphic to the scheme \(\mathbb{C}\mathbb{P}^{1}. \)

Keywords

Projective Line Scalar Action Projective Point Popular Science Twistor Structure 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Verlag, Basel 2003

Authors and Affiliations

  1. 1.Department of MathematicsCalifornia State University at FullertonFullertonU.S.A

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