Defect and area in Beltrami-Klein model of hyperbolic geometry

DOI10.1007/S00025-011-0191-0zbMath1263.51012OpenAlexW2047922109MaRDI QIDQ1936924

Mahfouz Rostamzadeh, Sayed-Ghahreman Taherian

Publication date: 8 February 2013

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

Full work available at URL: https://doi.org/10.1007/s00025-011-0191-0

zbMATH Keywords

areahyperbolic geometryspecial relativitydefectabsolute geometryBeltrami-Klein model

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Special relativity (83A05) Loops, quasigroups (20N05) Absolute planes in metric geometry (51F05) Classical or axiomatic geometry and physics (51P05)

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
• Recent developments on absolute geometries and algebraization by K-loops
• A geometric construction of the K-loop of a hyperbolic space
• Einstein's velocity addition law and its hyperbolic geometry
• Einstein's special relativity: Unleashing the power of its hyperbolic geometry
• Relations between the K-loop and the defect of an absolute plane
• Beyond the Einstein addition law and its gyroscopic Thomas precession. The theory of gyrogroups and gyrovector spaces

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