Octahedral noncompact hyperbolic space forms with finite volume
Keywords:
Noncompact hyperbolic space, regular octahedronSubjects:
51N20, 52C22Abstract
Following Poincarè's geometric method, we construct two new nonorientable noncompact hyperbolic space forms by the regular octahedron in Fig\.~1. The construction is motivated by Thurston's example [6], discussed also by Apansov [1] in details. Our new space forms will be denoted by
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