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Almost identical imitations of (3,1)-dimensional manifold pairs and the manifold mutation
Published online by Cambridge University Press: 09 April 2009
Abstract
In this paper, we construct from any given good (3,1)-dimensional manifold pair finitely many almost identical imitations of it whose exteriors are mutative hyperbolic 3-manifolds. The equivariant versions with the mutative reduction property on the isometry group are also established. As a corollary, we have finitely many hyperbolic 3-manifolds with the same volume and the same isometry group.
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- Research Article
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- Copyright © Australian Mathematical Society 1993
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