Length functions, curvature and the dimension of discrete groups

Mathematical Research Letters

Volumn 8, Issue 4, 2001, Pages 557-567

  Bridson, Martin R ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035539229     PISSN: 10732780     EISSN: None     Source Type: Journal    
DOI: 10.4310/MRL.2001.v8.n4.a14     Document Type: Article

References (12)

1. [Ba] W. Ballmann, Lectures on Spaces of Nonpositive Curvature, DMV Seminar Band 25, Birkhäuser, Basel, 1995.
2. [BC] N. Brady and J. Crisp, Two-dimensional Artin groups with CAT(0) dimension three, preprint, Université de Dijon, August 2000.
3. [Br] M.R. Bridson, On the semisimplicity of polyhedral isometries, Proc. Amer. Math. Soc. 127, 2143-2146.
4. [BH] M.R. Bridson and A. Haefliger, Metric Spaces of Non-Positive Curvature, Grund. Math. Wiss. 319, Springer-Verlag, Berlin-Heidelberg-New York, 1999.
5. [Ch] I.M. Chiswell, Abstract length functions in groups, Math. Proc. Camb. Phil. Soc. 80 (1976), 451-463.
6. [CM] M. Culler and J.W. Morgan, Group actions on ℝ-trees, Proc. London Math. Soc. (3) 55 (1987), 571-604.
7. [HW] W. Hurewicz and H. Wallmann, Dimension Theory, Princeton Univ. Press, Princeton NJ, 1941.
8. [Ki] I. Kim, Marked length specturm of rank 1 symmetric spaces and their products, Topology, to appear.
9. [LS] R.C. Lyndon and P.E. Schupp, Combinatorial Group Theory, Springer Verlag, Berlin-Heidelberg-New York, 1977.
10. [Ot] J-P. Otal, Le spectre marqué des longueurs des surfaces à courbure négative, Ann. of Math. 131 (1990), 151-162.
11. [Th] W.P. Thurston, On the geometry and dynamics of diffeomorphisms of surfaces, Bull. Amer. Math. Soc. 19 (1988), 417-431.
12. [Ti] J. Tits, A 'Theorem of Lie-Kolchin' for trees, Contributions to algebra: papers dedicated to Ellis Kolchin, Academic Press, New York, 1977, pp. 377-388.