On trigonometry in Beltrami-Klein model of hyperbolic geometry

DOI10.1007/S00025-013-0350-6zbMath1296.51024OpenAlexW2044442530MaRDI QIDQ2016022

Mahfouz Rostamzadeh, Sayed-Ghahreman Taherian

Publication date: 18 June 2014

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-013-0350-6

zbMATH Keywords

special relativitygyrogroupK-loopBeltrami-Klein modeltrigonometry in hyperbolic geometry

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Loops, quasigroups (20N05) Algebraization in linear incidence geometry (51A25) Analytic geometry with other transformation groups (51N25)

Related Items (1)

The Algebra of Gyrogroups: Cayley’s Theorem, Lagrange’s Theorem, and Isomorphism Theorems

Cites Work

• Unnamed Item
• On algebraic structures related to Beltrami-Klein model of hyperbolic geometry
• Zur Begründung metrischer affiner Ebenen
• Einstein's special relativity: Unleashing the power of its hyperbolic geometry
• Beyond the Einstein addition law and its gyroscopic Thomas precession. The theory of gyrogroups and gyrovector spaces

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