Geometry, topology, and dynamics in negative curvature

Bibliographic Information

Geometry, topology, and dynamics in negative curvature

edited by C.S. Aravinda, F.T. Farrell, J.-F. Lafont

(London Mathematical Society lecture note series, 425)

Cambridge University Press, 2016

  • : pbk

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Includes bibliographical references

Description and Table of Contents

Description

The ICM 2010 satellite conference 'Geometry, Topology and Dynamics in Negative Curvature' afforded an excellent opportunity to discuss various aspects of this fascinating interdisciplinary subject in which methods and techniques from geometry, topology, and dynamics often interact in novel and interesting ways. Containing ten survey articles written by some of the leading experts in the field, this proceedings volume provides an overview of important recent developments relating to negative curvature. Topics covered include homogeneous dynamics, harmonic manifolds, the Atiyah Conjecture, counting circles and arcs, and hyperbolic buildings. Each author pays particular attention to the expository aspects, making the book particularly useful for graduate students and mathematicians interested in transitioning from other areas via the common theme of negative curvature.

Table of Contents

  • Preface C. S. Aravinda, F. T. Farrell and J.-F. Lafont
  • 1. Gap distributions and homogeneous dynamics Jayadev S. Athreya
  • 2. Topology of open nonpositively curved manifolds Igor Belegradek
  • 3. Cohomologie et actions isometriques propres sur les espaces Lp Marc Bourdon
  • 4. Compact Clifford-Klein forms - geometry, topology and dynamics David Constantine
  • 5. A survey on noncompact harmonic and asymptotically harmonic manifolds Gerhard Knieper
  • 6. The Atiyah conjecture Peter A. Linnell
  • 7. Cannon-Thurston maps for surface groups - an exposition of amalgamation geometry and split geometry Mahan Mj
  • 8. Counting visible circles on the sphere and Kleinian groups Hee Oh and Nimish Shah
  • 9. Counting arcs in negative curvature Jouni Parkkonen and Frederic Paulin
  • 10. Lattices in hyperbolic buildings Anne Thomas.

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Details

  • NCID
    BB20538462
  • ISBN
    • 9781107529007
  • Country Code
    uk
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Cambridge
  • Pages/Volumes
    xiv, 363 p.
  • Size
    23 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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