Hausdorff dimension of limit sets of discrete subgroups of higher rank lie groups

Geometric and Functional Analysis

Volumn 14, Issue 2, 2004, Pages 400-432

  Link, Gabriele ^a  

^a UNIVERSITY OF KARLSRUHE   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 2942741131     PISSN: 1016443X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00039-004-0462-y     Document Type: Article

References (16)

1. [A1] P. ALBUQUERQUE, Mesures de Patterson-Sullivan dans les espaces symétriques de rang supérieure, Thèse de doctorat, Genève, 1997.
2. [A2] P. ALBUQUERQUE, Patterson-Sullivan theory in higher rank symmetric spaces, GAFA, Geom. funct. anal. 9 (1999), 1-28.
3. [B] W. BALLMANN, Lectures on Spaces of Nonpositive Curvature, DMV Seminar, Band 25, Birkhäuser, Basel, 1995.
4. [BGS] W. BALLMANN, M. GROMOV, V. SCHROEDER, Manifolds of Nonpositive Curvature, Progr. Math. 61, Birkhäuser, Boston MA, 1985.
5. [Bu] M. BURGER, Intersection, the Manhattan Curve, and Patterson-Sullivan ' Theory in rank 2, Int. Math. Res. Not. 7 (1993), 217-225.
6. [C] K. CORLETTE, Hausdorff dimensions of limit sets I, Invent. Math. 102 (1990), 521-542.
7. P. EBERLEIN, Geometry of Non-Positively Curved Manifolds, Chicago Lectures in Mathematics, Chicago Univ. Press, Chicago, 1996.
8. [H] T. HATTORI, Geometric limit sets of higher rank lattices, preprint, Tokyo, 2000.
9. [He] S. HELGASON, Differential Geometry, Lie groups, and Symmetric Spaces, Academic Press, New York, 1978.
10. [K] J.L. KELLEY, General Topology, Van Nostrand, New York, 1955.
11. [Kn] G. KNIEPER, On the asymptotic geometry of nonpositively curved manifolds, GAFA, Geom. funct. anal. 7 (1997), 755-782.
12. [L] G. LINK, Limit Sets of Discrete Groups acting on Symmetric Spaces, Dissertation, Karlsruhe, 2002. www.ubka.uni-karlsruhe.de/cgi-bin/psview? document=2002/mathematik/9
13. [P] S.J. PATTERSON, The limit set of a Fuchsian group, Acta Math. 136 (1976), 241-273.
14. [Q] J.F. QUINT, Mesures de Patterson-Sullivan dans les espaces symétriques de rang supérieure, Thèse de doctorat, Paris, 2001.
15. [S] D. SULLIVAN, The density at infinity of a discrete group of hyperbolic motions, Publ. Math. IHES 50 (1979), 419-450.
16. [Y] C.B. YUE, The ergodic theory of discrete isometry groups on manifolds of variable negative curvature, Trans. Amer. Math. Soc. 348: 12 (1996), 4965-5005.