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Almost identical imitations of (3,1)-dimensional manifold pairs and the manifold mutation

Part of: Differential topology Topological manifolds

Published online by Cambridge University Press:  09 April 2009

Akio Kawauchi
Akio Kawauchi
Affiliation:
Department of Mathematics, Osaka City University, Osaka 558, Japan
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Abstract

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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.

MSC classification

Secondary: 57N10: Topology of general $3$-manifolds 57R90: Other types of cobordism
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 55 , Issue 1 , August 1993 , pp. 100 - 115
Copyright
Copyright © Australian Mathematical Society 1993

References

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