Diameter rigidity of spherical polyhedra

Duke Mathematical Journal

Volumn 97, Issue 2, 1999, Pages 235-259

  Ballmann, Werner ^a   Brin, Michael ^b  

^a UNIVERSITY OF BONN   (Germany)

^b Bldg 142   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001543968     PISSN: 00127094     EISSN: None     Source Type: Journal    
DOI: 10.1215/S0012-7094-99-09711-9     Document Type: Article

References (7)

1. A. D. Alexandrov, A theorem on triangles in a metric space and some of its applications (in Russian), Trudy Mat. Inst. Steklov 38 (1951), 5-23.
2. W. Ballmann, “Singular spaces of nonpositive curvature” in Sur les groupes hyperboliques d'après Mikhael Gromov (Bern, 1988), ed. E. Ghys and P. de la Harpe, Progr. Math. 83, Birkhauser, Boston, 1990, 189-201.
3. W. Ballmann, Lectures on Spaces of Nonpositive Curvature, DMV Sem. 25, Birkhauser, Basel, 1995.
4. W. Ballmann and M. Brin, Orbihedra of nonpositive curvature, Inst. Hautes Études Sci. Publ. Math. 82 (1996), 169-209.
5. K. S. Brown, Buildings, Springer-Verlag, New York, 1989.
6. M. Gromov, “Hyperbolic groups” in Essays in Group Theory, ed. S. M. Gersten, Math. Sci. Res. Inst. Publ. 8, Springer-Verlag, New York, 1987, 75-263.
7. J. Tits, Buildings of Spherical Type and Finite BN-.Pairs, Lecture Notes in Math. 386, Springer-Verlag, Berlin, 1974.