Volume 3, issue 1 (1999)

Download this article
For printing
Recent Issues

Volume 29
Issue 2, 549–862
Issue 1, 1–548

Volume 28, 9 issues

Volume 27, 9 issues

Volume 26, 8 issues

Volume 25, 7 issues

Volume 24, 7 issues

Volume 23, 7 issues

Volume 22, 7 issues

Volume 21, 6 issues

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the Journal
Editorial Board
Editorial Procedure
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1364-0380 (online)
ISSN 1465-3060 (print)
Author Index
To Appear
 
Other MSP Journals
Piecewise Euclidean structures and Eberlein's Rigidity Theorem in the singular case

Michael W Davis, Boris Okun and Fangyang Zheng

Geometry & Topology 3 (1999) 303–330
Bibliography
1 W Ballmann, Lectures on spaces of nonpositive curvature, DMV Seminar 25, Birkhäuser Verlag (1995) MR1377265
2 W Ballmann, M Gromov, V Schroeder, Manifolds of nonpositive curvature, Progress in Mathematics 61, Birkhäuser (1985) MR823981
3 M R Bridson, A Haefliger, Metric spaces of non-positive curvature, Grundlehren der Mathematischen Wissenschaften 319, Springer (1999) MR1744486
4 S S Chen, P Eberlein, Isometry groups of simply connected manifolds of nonpositive curvature, Illinois J. Math. 24 (1980) 73 MR550653
5 R Charney, M Davis, Singular metrics of nonpositive curvature on branched covers of Riemannian manifolds, Amer. J. Math. 115 (1993) 929 MR1246182
6 R Charney, M Davis, The polar dual of a convex polyhedral set in hyperbolic space, Michigan Math. J. 42 (1995) 479 MR1357620
7 R Charney, M Davis, G Moussong, Nonpositively curved, piecewise Euclidean structures on hyperbolic manifolds, Michigan Math. J. 44 (1997) 201 MR1439678
8 M W Davis, T Januszkiewicz, Hyperbolization of polyhedra, J. Differential Geom. 34 (1991) 347 MR1131435
9 P Eberlein, Rigidity of lattices of nonpositive curvature, Ergodic Theory Dynam. Systems 3 (1983) 47 MR743028
10 P Eberlein, Isometry groups of simply connected manifolds of nonpositive curvature II, Acta Math. 149 (1982) 41 MR674166
11 P Eberlein, Euclidean de Rham factor of a lattice of nonpositive curvature, J. Differential Geom. 18 (1983) 209 MR710052
12 P Eberlein, Lattices in spaces of nonpositive curvature, Ann. of Math. $(2)$ 111 (1980) 435 MR577132
13 A Eskin, B Farb, Quasi-flats and rigidity in higher rank symmetric spaces, J. Amer. Math. Soc. 10 (1997) 653 MR1434399
14 M Gromov, Hyperbolic groups, from: "Essays in group theory", Math. Sci. Res. Inst. Publ. 8, Springer (1987) 75 MR919829
15 M Gromov, W Thurston, Pinching constants for hyperbolic manifolds, Invent. Math. 89 (1987) 1 MR892185
16 B Kleiner, B Leeb, Rigidity of quasi-isometries for symmetric spaces and Euclidean buildings, Inst. Hautes Études Sci. Publ. Math. (1997) MR1608566
17 B Leeb, A characterization of irreducible symmetric spaces and Euclidean buildings of higher rank by their asymptotic geometry, Bonner Mathematische Schriften 326, Universität Bonn Mathematisches Institut (2000) MR1934160
18 O Loos, Symmetric spaces II: Compact spaces and classification, W. A. Benjamin, New York-Amsterdam (1969) MR0239006
19 G D Mostow, Strong rigidity of locally symmetric spaces, Annals of Mathematics Studies 78, Princeton University Press (1973) MR0385004
20 D Montgomery, L Zippin, Topological transformation groups, Interscience Publishers, New York-London (1955) MR0073104
21 P Planche, Structures de Finsler invariantes sur les espaces symétriques, C. R. Acad. Sci. Paris Sér. I Math. 321 (1995) 1455 MR1366100
22 M S Raghunathan, Discrete subgroups of Lie groups, Ergebnisse der Mathematik und ihrer Grenzgebiete 68, Springer (1972) MR0507234
23 A Selberg, Recent developments in the theory of discontinuous groups of motions of symmetric spaces, from: "Proceedings of the Fifteenth Scandinavian Congress (Oslo, 1968)", Lecture Notes in Mathematics 118, Springer (1970) 99 MR0263996