Gluing copies of a 3-dimensional polyhedron to obtain a closed nonpositively curved pseudomanifold

DOI10.1090/S0002-9939-01-05554-XzbMath0993.53013OpenAlexW1518782774MaRDI QIDQ2701647

Dmitri Burago, Bruce Kleiner, A. Kononenko, S. V. Ferleger

Publication date: 19 February 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-01-05554-x

zbMATH Keywords

linear groupresidually finite groupshortest closed geodesicvertex linkAlexandrov space with nonpositive curvaturehomotopically nontrivial geodesicnonpositive curvature in the sense of Alexandrov

Mathematics Subject Classification ID

Three-dimensional polytopes (52B10) Global Riemannian geometry, including pinching (53C20) General geometric structures on low-dimensional manifolds (57M50) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Related Items

Simplicial nonpositive curvature, Collisions in semi-dispersing billiard on Riemannian manifold

Cites Work

• Iteration on Teichmüller space
• Sur les groupes hyperboliques d'après Mikhael Gromov. (On the hyperbolic groups à la M. Gromov)
• Uniform estimates on the number of collisions in semi-dispersing billiards
• Unfoldings and global bounds on the number of collisions for generalized semi-dispersing billiards
• The Hadamard-Cartan theorem in locally convex metric spaces
• Three dimensional manifolds, Kleinian groups and hyperbolic geometry
• Geodesics in Piecewise Linear Manifolds
• Topological entropy of semi-dispersing billiards
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