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Maps on
infra-nilmanifolds
Kyung Bai Lee |
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Vol. 168 (1995), No. 1, 157–166
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Abstract |
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We show that Bieberbach’s rigidity theorem for flat manifolds still holds true for any continuous maps on infra-nilmanifolds. Namely, every endomorphism of an almost crystallographic group is semi-conjugate to an affine endomorphism. Applying this result to Fixed-point theory, we obtain a criterion for the Lefschetz number and Nielsen number for a map on infra-nilmanifolds to be equal. |
Mathematical Subject Classification 2000
Primary: 57S30
Secondary: 57M50
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Milestones
Received: 14 July 1992
Published: 1 March 1995
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Authors |
| Kyung Bai Lee | |
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