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On the Geometry of the Quaternionic Unit Disc

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Hypercomplex Analysis and Applications

Part of the book series: Trends in Mathematics ((TM))

Abstract

In the space ℍ of quaternions, the natural invariant geometry of the open unit disc ΔH, diffeomorphic to the open half-space H+ via a Cayleytype transformation, has been investigated extensively. This was accomplished by constructing, in a natural geometrical manner.

Mathematics Subject Classification (2010). Primary 30G35; Secondary 30C20, 30F45, 53C35.

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Correspondence to Cinzia Bisi .

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© 2011 Springer Basel AG

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Bisi, C., Gentili, G. (2011). On the Geometry of the Quaternionic Unit Disc. In: Sabadini, I., Sommen, F. (eds) Hypercomplex Analysis and Applications. Trends in Mathematics. Springer, Basel. https://doi.org/10.1007/978-3-0346-0246-4_1

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