J Austral Math Soc Ser A 55 pp100--115, 1993.

Almost Identical Initations of (3,1)-Dimensional Manifold Pairs and the Manifold Mutation

Akio Kawauchi

Abstract

In this paper, we construct from any given (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.

1991 AMS Subject Classification: 57N10, 57R90

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Authors

Akio Kawauchi

Department of Mathematics, Osaka City University, Osaka 558, Japan.