Diameter rigidity of spherical polyhedra

DOI10.1215/S0012-7094-99-09711-9zbMath0980.53045MaRDI QIDQ1974908

Michael Brin, Werner Ballmann

Publication date: 27 March 2000

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

spherical buildinghemispherexspherical join

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Global Riemannian geometry, including pinching (53C20) Rigidity results (53C24) Rigidity and flexibility of structures (aspects of discrete geometry) (52C25) Reflection groups, reflection geometries (51F15)

Related Items

On the structure of RCD spaces with upper curvature bounds, An indiscrete Bieberbach theorem: from amenable \(\mathrm{CAT}(0)\) groups to Tits buildings, \(\mathrm{CAT}(0)\) spaces of higher rank. I, CAT(0) spaces of higher rank. II, Divergence in lattices in semisimple Lie groups and graphs of groups, Conjugate points in length spaces, Centers of convex subsets of buildings, Metric characterizations of spherical and Euclidean buildings, Volume pinching theorems for CAT(1) spaces

Cites Work

• Buildings of spherical type and finite BN-pairs
• Orbihedra of nonpositive curvature
• Unnamed Item
• Unnamed Item
• Unnamed Item