Rank rigidity of Euclidean polyhedra

DOI10.1353/ajm.2000.0033zbMath1041.53029OpenAlexW2068649708MaRDI QIDQ4519529

Michael Brin, Werner Ballmann

Publication date: 22 May 2003

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://muse.jhu.edu/journals/american_journal_of_mathematics/toc/ajm122.5.html

zbMATH Keywords

ranknonpositive curvatureEuclidean buildingcocompactEuclidean polyhedronproperly discontinuous group of isometries

Mathematics Subject Classification ID

Rigidity results (53C24) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45)

Related Items (5)

The 4-string braid group $B_4$ has property RD and exponential mesoscopic rank ⋮ Foldable cubical complexes of nonpositive curvature. ⋮ \(\mathrm{CAT}(0)\) spaces of higher rank. I ⋮ Rank rigidity for CAT(0) cube complexes. ⋮ A rank rigidity result for CAT(0) spaces with one-dimensional Tits boundaries

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