A geometric interpretation of Ungar's addition and of gyration in the hyperbolic plane

DOI10.1016/j.topol.2004.10.012zbMath1085.51021OpenAlexW1991266515MaRDI QIDQ2565565

J. Vermeer

Publication date: 27 September 2005

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2004.10.012

zbMATH Keywords

medianhyperbolic planePoincaré modelgyro-group

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Geometric constructions in real or complex geometry (51M15) Reflection groups, reflection geometries (51F15) Elementary problems in hyperbolic and elliptic geometries (51M09)

Related Items (1)

Einstein's velocity addition law and its hyperbolic geometry

Cites Work

• Extension of the unit disk gyrogroup into the unit ball of any real inner product space
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