Ray transforms in hyperbolic geometry
✍ Scribed by Guillaume Bal
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 223 KB
- Volume
- 84
- Category
- Article
- ISSN
- 0021-7824
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📜 SIMILAR VOLUMES
The generic Mobius transformation of the complex open unit disc induces a binary operation in the disc, called the Mobius addition. Following its introduction, ẗhe extension of the Mobius addition to the ball of any real inner product space änd the scalar multiplication that it admits are presented,
Hyperbolic trigonometry is developed and illustrated in this article along lines pa+lel to Euclidean trigonometry by exposing the hyperbolic trigonometric law of cosines and of sines in the Poincarb ball model of n-dimensional hyperbolic geometry, as well as their application. The Poincarb ball mode