Examples of infinitesimally flexible 3-dimensional hyperbolic cone-manifolds
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- Izmestiev Ivan
- Institut für Mathematik, MA 8-3, Technische Universität Berlin
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Abstract
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. <br>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.
Journal
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- Journal of the Mathematical Society of Japan
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Journal of the Mathematical Society of Japan 63 (2), 581-598, 2011
The Mathematical Society of Japan
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Details 詳細情報について
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- CRID
- 1390001205116257536
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- NII Article ID
- 10029321716
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- NII Book ID
- AA0070177X
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- ISSN
- 18811167
- 18812333
- 00255645
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- NDL BIB ID
- 11060281
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- Text Lang
- en
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- Data Source
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- JaLC
- NDL
- Crossref
- CiNii Articles
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- Abstract License Flag
- Disallowed