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Anglický jazyk
Prime Geodesic
Autor: Lambert M. Surhone
High Quality Content by WIKIPEDIA articles! In mathematics, a prime geodesic on a hyperbolic surface is a primitive closed geodesic, a geodesic which is a closed curve that traces out its image exactly once. Such geodesics are called prime geodesics because,... Viac o knihe
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O knihe
High Quality Content by WIKIPEDIA articles! In mathematics, a prime geodesic on a hyperbolic surface is a primitive closed geodesic, a geodesic which is a closed curve that traces out its image exactly once. Such geodesics are called prime geodesics because, among other things, they obey an asymptotic distribution law similar to the prime number theorem. We briefly present some facts from hyperbolic geometry which are helpful in understanding prime geodesics. There are then 3 types of transformation: hyperbolic, elliptic, and parabolic. The loxodromic transformations are not present because we are working with real numbers. Then an element of G has 2 distinct real fixed points if and only if is hyperbolic.
- Vydavateľstvo: OmniScriptum
- Rok vydania: 2026
- Formát: Paperback
- Rozmer: 220 x 150 mm
- Jazyk: Anglický jazyk
- ISBN: 9786130341756
