Examples of infinitesimally flexible 2-dimensional hyperbolic cone-manifolds

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概要

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• Weiss and, independently, Mazzeo and Montcouquiol recently proved that a 3-dimensional hyperbolic cone-manifold (possibly with vertices) with all cone angles less than 2π is infinitesimally rigid. On the other hand, Casson provided 1998 an example of an infinitesimally flexible cone-manifold with some of the cone angles larger than 2π. In this paper several new examples of infinitesimally flexible cone-manifolds are constructed. The basic idea is that the double of an infinitesimally flexible polyhedron is an infinitesimally flexible cone-manifold. With some additional effort, we are able to construct infinitesimally flexible cone-manifolds without vertices and with all cone angles larger than 2π.

• 2011-04-01

著者

• Izmestiev Ivan

  Institut Fur Mathematik Ma 8-3 Technische Universitat Berlin

関連論文

• Examples of infinitesimally flexible 2-dimensional hyperbolic cone-manifolds

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