Metric characterizations of spherical and Euclidean buildings

Geometry and Topology

Volumn 5, Issue , 2001, Pages 521-550

  Charney, Ruth ^a   Lytchak, Alexander ^b  

^a OHIO STATE UNIVERSITY   (United States)

^b UNIVERSITY OF BONN   (Germany)

Author keywords

Buildings; Cat(0) spaces; Euclidean buildings; Metric characterisation; Spherical buildings

Indexed keywords

EID: 0013199335     PISSN: 14653060     EISSN: None     Source Type: Journal    
DOI: 10.2140/gt.2001.5.521     Document Type: Article

References (14)

1. W Ballmann, Lectures on Spaces of Nonpositive Curvature, DMV Seminar 25, Birkhäuser (1995)
2. W Ballmann, M Brin, Orbihedra of nonpositive curvature, Inst. Hautes Études Sci. Publ. Math. 82 (1996) 169-209
3. W Ballmann, M Brin, Diameter rigidity of spherical polyhedra, Duke Math. J. 97 (1999) 235-259
4. M Bridson, A Haefliger, Metric Spaces of Non-positive Curvature, Springer-Verlag (1999)
5. N Bourbaki, Groupes et Algebrès de Lie, Ch. 4-6, Masson, Paris (1981)
6. K Brown, Buildings, Springer-Verlag, New York (1989)
7. R Charney,M W Davis, Singular metrics of nonpositive curvature on branched covers of Riemannian manifolds, Amer. J. Math. 115 (1993) 929-1009
8. M W Davis, Buildings are CAT(0), from: "Geometry and Cohomology in Group Theory", ed. by P Kropholler, G Niblo and R Stöhr, LMS Lecture Notes Series 252, Cambridge University Press (1998)
9. M Gromov, Hyperbolic groups, from: "Essays in Group Theory", ed. by S M Gersten, MSRI Publ. 8, Springer-Verlag, New York (1987) 75-264
10. W M Kantor, Generalized polygons, SCAB's and GAB's, from: "Buildings and the Geometry of Diagrams", LNM 1181, Springer-Verlag, New York (1986) 79-158
11. B Kleiner, B Leeb, Rigidity of quasi-isometries for symmetric spaces and Euclidean buildings, Publ. IHES 86 (1997) 115-197
12. A Neumaier, Some aporadic geometries related to PG(3,2), Arch. Math. 42 (1984) 89-96
13. M Ronan, Lectures on Buildings, Perspectives in Mathematics, Vol. 7, Academic Press, San Diego (1989)
14. J Tits, A local approach to buildings, from: "The Geometric Vein, Coxeter Festschrift", ed. by C Davis, B Grüenbaum and F A Sherk, Springer-Verlag, New York (1981) 519-547