The quasi-isometry classification of rank one lattices

Richard Evan Schwartz

Publications Mathématiques de l'IHÉS (1995)

  • Volume: 82, page 133-168
  • ISSN: 0073-8301

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Schwartz, Richard Evan. "The quasi-isometry classification of rank one lattices." Publications Mathématiques de l'IHÉS 82 (1995): 133-168. <http://eudml.org/doc/104107>.

@article{Schwartz1995,
author = {Schwartz, Richard Evan},
journal = {Publications Mathématiques de l'IHÉS},
keywords = {commensurable lattices; rank one semisimple Lie groups; symmetric spaces; rank one lattices; rank one Lie group; hyperbolic planes; nonuniform lattices; quasi-isometry},
language = {eng},
pages = {133-168},
publisher = {Institut des Hautes Études Scientifiques},
title = {The quasi-isometry classification of rank one lattices},
url = {http://eudml.org/doc/104107},
volume = {82},
year = {1995},
}

TY - JOUR
AU - Schwartz, Richard Evan
TI - The quasi-isometry classification of rank one lattices
JO - Publications Mathématiques de l'IHÉS
PY - 1995
PB - Institut des Hautes Études Scientifiques
VL - 82
SP - 133
EP - 168
LA - eng
KW - commensurable lattices; rank one semisimple Lie groups; symmetric spaces; rank one lattices; rank one Lie group; hyperbolic planes; nonuniform lattices; quasi-isometry
UR - http://eudml.org/doc/104107
ER -

References

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  3. [E2] D. B. A. Epstein, Analytical and Geometric Aspects of Hyperbolic Space, LMS Lecture Notes, series 111, Cambridge University Press, 1984. Zbl0601.00008MR88c:57003
  4. [Go] W. GOLDMAN, Complex Hyperbolic Space, notes available from the author. 
  5. [Gr1] M. GROMOV, Asymptotic Invariants of Infinite Groups, LMS Lecture Notes Series, 1994. 
  6. [Gr2] M. GROMOV, Carnot-Caratheodory Spaces Seen from Within, IHES, preprint, 1994. Zbl0864.53025
  7. [KR] A. KORANYI and H. M. REIMANN, Foundations for the Theory of Quasi-Conformal Mappings of the Heisenberg Group, Preprint, 1991. Zbl0876.30019
  8. [M1] G. D. MOSTOW, Strong Rigidity of Locally Symmetric Spaces, Annals of Math. Studies, No. 78, Princeton University Press, 1973. Zbl0265.53039MR52 #5874
  9. [M2] G. D. MOSTOW, Quasiconformal Mappings in n-Space and the Rigidity of Hyperbolic Space Forms, Publ. Math. IHES, 34 (1968), 53-104. Zbl0189.09402MR38 #4679
  10. [P] P. PANSU, Métriques de Carnot-Caratheodory et Quasi-Isométries des Espaces Symétriques de Rang Un., Annals of Math., 129 (1989), 1-60. Zbl0678.53042MR90e:53058
  11. [T] W. THURSTON, The Geometry and Topology of Three-Manifolds, Princeton University Lecture Notes, 1978. 
  12. [Z] R. ZIMMER, Ergodic Theory and Semi-Simple Lie Groups, Birkhauser, Boston, 1984. Zbl0571.58015MR86j:22014

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