Prime Geodesic

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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 has 2 distinct real fixed points if and only if is hyperbolic.

Weitere Informationen

  • Allgemeine Informationen
    • GTIN 09786130341756
    • Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
    • Sprache Englisch
    • Größe H220mm x B150mm x T5mm
    • Jahr 2010
    • EAN 9786130341756
    • Format Kartonierter Einband
    • ISBN 978-613-0-34175-6
    • Titel Prime Geodesic
    • Untertitel Prime Geodesic, Mathematics, Hyperbolic Geometry, Surface, Closed Geodesic, CurveAsymptotic Analysis, Prime Number Theorem, Fuchsian Group
    • Gewicht 130g
    • Herausgeber Betascript Publishers
    • Anzahl Seiten 76
    • Genre Mathematik

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