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Fractal Geometry on Hyperbolic Manifolds

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Non-Euclidean Geometries

Part of the book series: Mathematics and Its Applications ((MAIA,volume 581))

Abstract

In this survey we give a report on some recent results obtained in the studies of hyperbolic manifolds by means of fractal geometry. Emphasis has been put on results derived in the quantitative and qualitative fractal analysis of long term geodesic dynamics on hyperbolic manifolds.

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Authors and Affiliations

  1. Mathematical Institute, University of St Andrews, St Andrews, KY16 9SS, Scotland

    Bernd O. Stratmann

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  1. Bernd O. Stratmann
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  1. Rutgers Center for Operations Research, Piscataway, New Jersey, USA

    András Prékopa

  2. Budapest University of Technology and Economics, Hungary

    Emil Molnár

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Stratmann, B.O. (2006). Fractal Geometry on Hyperbolic Manifolds. In: Prékopa, A., Molnár, E. (eds) Non-Euclidean Geometries. Mathematics and Its Applications, vol 581. Springer, Boston, MA. https://doi.org/10.1007/0-387-29555-0_12

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