Möbius Transformations and Clifford Numbers

Lars V. Ahlfors

A chapter in Differential Geometry and Complex Analysis, 1985, pp 65-73 from Springer

Abstract: Abstract The theory of Möbius transformations in ℝ n can be treated in various ways. One way is to use the projective model of hyperbolic geometry which expresses the Möbius transformations in terms of the matrix group O(n + 1,1). While very satisfactory from a theoretical point of view it leads quickly to overly complicated formulas, and I have therefore advocated an approach which works directly in ℝ n and uses formulas strikingly analogous to those in the complex case [1].

Date: 1985
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DOI: 10.1007/978-3-642-69828-6_5

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