Abstract
Gyrogeometry is the gyro-Euclidean geometry, that is, the geometry generated by the gyro-analogies with Euclidean geometry to which the Thomas gyration gives rise. We indicate in this chapter that gyrogeometry is the super geometry that naturally unifies Euclidean and hyperbolic geometry. The classical hyperbolic geometry of Bolyai and Lobachevski emerges in gyrogeometry with a companion, called cohyperbolic geometry.
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© 2001 Kluwer Academic Publishers
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Ungar, A.A. (2001). Gyrogeometry. In: Beyond the Einstein Addition Law and its Gyroscopic Thomas Precession. Fundamental Theories of Physics, vol 117. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-9122-0_7
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DOI: https://doi.org/10.1007/978-94-010-9122-0_7
Publisher Name: Springer, Dordrecht
Print ISBN: 978-0-7923-6910-3
Online ISBN: 978-94-010-9122-0
eBook Packages: Springer Book Archive