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A confirmation by hand calculation that the Möbius ball is a gyrovector space

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Publication:1685895
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zbMath1382.51014MaRDI QIDQ1685895

Keiichi Watanabe

Publication date: 20 December 2017

Published in: Nihonkai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.nihmj/1505419744


zbMATH Keywords

Möbius gyrogroupsMöbius gyrovector spaces


Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Loops, quasigroups (20N05) Inner product spaces and their generalizations, Hilbert spaces (46C99) Classical or axiomatic geometry and physics (51P05)


Related Items (3)

On a notion of complex Möbius gyrovector spaces ⋮ Orthogonal gyroexpansion in Möbius gyrovector spaces ⋮ On Lipschitz continuity with respect to the Poincaré metric of linear contractions between Möbius gyrovector spaces




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