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arxiv: math/0410474 · v2 · submitted 2004-10-21 · 🧮 math.GT

The smallest hyperbolic 6-manifolds

classification 🧮 math.GT
keywords hyperbolicmanifoldssmallestall-rightangledcharacteristicconstructedcopies
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By gluing together copies of an all-right angled Coxeter polytope a number of open hyperbolic 6-manifolds with Euler characteristic -1 are constructed. They are the first known examples of hyperbolic 6-manifolds having the smallest possible volume.

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