Abstract
A covariant derivative is defined on the one point compactificationof the quaternions, respecting the natural action of quaternionic Möbiustransformations. The self-parallel curves (analogues of geodesics) in this geometryare the loxodromes. Contrasts between quaternionic and complex Möbiusgeometries are noted. © 1998 American Mathematical Society.
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APA
Porter, R. M. (1998). Möbius invariant quaternion geometry. Conformal Geometry and Dynamics, 2(6), 89–106. https://doi.org/10.1090/S1088-4173-98-00032-0
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