Hyperbolic geodesics

Xem 1-6 trên 6 kết quả Hyperbolic geodesics
  • In this paper, we study the growth of sX(L), the number of simple closed geodesics of length ≤ L on a complete hyperbolic surface X of finite area. We also study the frequencies of different types of simple closed geodesics on X and their relationship with the Weil-Petersson volumes of moduli spaces of bordered Riemann surfaces.

    pdf30p dontetvui 17-01-2013 20 5   Download

  • This paper gives a quantitative version of Thurston’s hyperbolic Dehn surgery theorem. Applications include the first universal bounds on the number of nonhyperbolic Dehn fillings on a cusped hyperbolic 3-manifold, and estimates on the changes in volume and core geodesic length during hyperbolic Dehn filling. The proofs involve the construction of a family of hyperbolic conemanifold structures, using infinitesimal harmonic deformations and analysis of geometric limits.

    pdf56p noel_noel 17-01-2013 17 4   Download

  • International Workshop on QUASICONFORMAL MAPPINGS AND THEIR APPLICATIONS December 27, 2005 - January 01, 2006 ..Indian Institute of Technology Madras Department of Mathematics Proceedings of the International Workshop on Quasiconformal Mappings And Their Applications (IWQCMA05) December 27, 2005 - January 01, 2006 Edited by S. Ponnusamy T. Sugawa M. Vuorinen ..

    pdf358p bachduong1311 07-12-2012 26 0   Download

  • We introduce a class of metric spaces which we call “bolic”. They include hyperbolic spaces, simply connected complete manifolds of nonpositive curvature, euclidean buildings, etc. We prove the Novikov conjecture on higher signatures for any discrete group which admits a proper isometric action on a “bolic”, weakly geodesic metric space of bounded geometry. 1. Introduction This work has grown out of an attempt to give a purely KK-theoretic proof of a result of A. Connes and H. Moscovici ([CM], [CGM]) that hyperbolic groups satisfy the Novikov conjecture. ...

    pdf43p tuanloccuoi 04-01-2013 18 5   Download

  • Exponential decay of correlations for C 4 contact Anosov flows is established. This implies, in particular, exponential decay of correlations for all smooth geodesic flows in strictly negative curvature. 1. Introduction The study of decay of correlations for hyperbolic systems goes back to the work of Sinai [36] and Ruelle [32]. While many results were obtained through the years for maps, some positive results have been established for Anosov flows only recently.

    pdf39p tuanloccuoi 04-01-2013 27 5   Download

  • R´sum´ anglais e e For a hyperbolic metric on a 3-dimensional manifold, the boundary of its convex core is a surface which is almost everywhere totally geodesic, but which is bent along a family of disjoint geodesics. The locus and intensity of this bending is described by a measured geodesic lamination, which is a topological object.

    pdf44p tuanloccuoi 04-01-2013 20 5   Download


Đồng bộ tài khoản