Hyperbolic rank and subexponential corank of metric spaces

Geometric and Functional Analysis

Volumn 12, Issue 2, 2002, Pages 293-306

  Buyalo, S ^a   Schroeder, V ^b  

^a STEKLOV MATHEMATICAL INSTITUTE   (Russian Federation)

^b UNIVERSITY OF ZURICH   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036436323     PISSN: 1016443X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00039-002-8247-7     Document Type: Article

References (10)

1. [BF] N. Brady, B. Farb, Filling-invariants at infinity for manifolds of nonpositive curvature, Trans. Amer. Math. Soc. 350 (1998), 3393-3405.
2. [BrH] M. Bridson, A. Haefliger, Metric Spaces of Nonpositive Curvature, Grundlehren der Mathematischen Wissenschaften, 319. Springer-Verlag, Berlin, 1999.
3. [BuS] S. Buyalo, V. Schroeder, On the asymptotic geometry of nonpositively curved graphmanifolds, Trans. Amer. Math. Soc. 353 (2001), 853-875.
4. [CK] C. Croke, B. Kleiner, Geodesic flow on a nonpositively curved graph manifold, preprint.
5. [FS] T. Foertsch, V. Schroeder, Hyperbolic rank of products, in preparation.
6. [G] M. Gromov, Asymptotic invariants of infinite groups, in "Geometric Group Theory" (G.A. Niblo, M.A. Roller, eds.), London Math. Soc. Lecture Notes Series 182, Vol. 2, Cambridge University Press (1993).
7. [HW] W. Hurevicz, H. Wallman, Dimesion Theory, Princeton, Princeton University Press, 1948.
8. [KL] M. Kapovich, B. Leeb, 3-manifold groups and nonpositive curvature, Geom. funct. anal. 8 (1998), 841-852.
9. [L] E. Leuzinger, Corank and asymptotic filling-invariants for symmetric spaces, Geom. funct. anal. 10 (2000), 863-873.
10. [S] P. Svetlov, Non-positively curved graph manifolds are virtually fibered over the circle, arXiv:math. GT/0108010, 2001.