Andreev's theorem on hyperbolic polyhedra (Q2372817)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Andreev's theorem on hyperbolic polyhedra |
scientific article |
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Andreev's theorem on hyperbolic polyhedra (English)
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1 August 2007
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The authors correct and reconstruct the proof of the famous Andreev's theorem, which shows a classfication of all 3-dimensional compact hyperbolic polyhedra having non-obtuse dihedral angles (except tetrahedra). Andreev's theorem is very important in recent researches of the 3-dimensional hyperbolic geometry. This work needs lots of effort of considering a combinatorial problem and hyperbolic dihedral angles about classification.
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hyperbolic polyhedra
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dihederal angle
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Andreev's Theorem
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hyperbolic orbifold
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Whitehead move
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