Hyperbolic trigonometry and its application in the Poincaré ball model of hyperbolic geometry

DOI10.1016/S0898-1221(01)85012-4zbMath0988.51017MaRDI QIDQ5948698

Abraham A. Ungar

Publication date: 12 November 2001

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

gyrovectorshyperbolic trigonometry

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10)

Related Items (9)

Hyperbolic cosines and sines theorems for the triangle formed by arcs of intersecting semicircles on Euclidean plane ⋮ Hybrid complex numbers: the matrix version ⋮ A characterization of Möbius transformations by use of hyperbolic regular polygons ⋮ The cogyrolines of Möbius gyrovector spaces are metric but not periodic ⋮ Seeing the Möbius disc-transformation group like never before. ⋮ Einstein's velocity addition law and its hyperbolic geometry ⋮ Geometrical and physical interpretation of evolution governed by general complex algebra ⋮ The hyperbolic derivative in the Poincaré ball model of hyperbolic geometry ⋮ A new proof of the nonexistence of isometries between higher dimensional Euclidean and hyperbolic spaces

Cites Work

• Unnamed Item
• Unnamed Item
• The holomorphic automorphism group of the complex disk
• Hyperbolic trigonometry in the Einstein relativistic velocity model of hyperbolic geometry
• The Mobius Group and Invariant Spaces of Analytic Functions

This page was built for publication: Hyperbolic trigonometry and its application in the Poincaré ball model of hyperbolic geometry