Examples of infinitesimally flexible 3-dimensional hyperbolic cone-manifolds

DOI10.2969/jmsj/06320581zbMath1221.57029arXiv0910.2876OpenAlexW2962906018MaRDI QIDQ548526

Ivan Izmestiev

Publication date: 29 June 2011

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

Full work available at URL: https://arxiv.org/abs/0910.2876

zbMATH Keywords

hyperbolic cone-manifoldinfinitesimal isometryPogorelov map

Mathematics Subject Classification ID

Three-dimensional polytopes (52B10) Rigidity results (53C24) General geometric structures on low-dimensional manifolds (57M50)

Related Items (6)

Degeneration of 3-dimensional hyperbolic cone structures with decreasing cone angles ⋮ Cone 3-Manifolds ⋮ Deformations of hyperbolic convex polyhedra and cone-3-manifolds ⋮ Non-rigidity of spherical inversive distance circle packings ⋮ EXAMPLES OF RIGID AND FLEXIBLE SEIFERT FIBRED CONE-MANIFOLDS ⋮ Variational properties of the discrete Hilbert-Einstein functional

Cites Work

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• Starre, kippende, wackelige und bewegliche Achtflache
• The shape of hyperbolic Dehn surgery space
• Local rigidity of 3-dimensional cone-manifolds
• Unstable Polyhedral Structures
• Deformations of hyperbolic \(3\)-cone-manifolds

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