The anosov theorem for infranilmanifolds with an odd-order abelian holonomy group
We prove that N(f)=|L(f)| for any continuous map f of a given infranilmanifold with Abelian holonomy group of odd order. This theorem is the analogue of a theorem of Anosov for continuous maps on nilmanifolds. We will also show that although their fundamental groups are solvable, the infranilmanifol...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
SpringerOpen
2006-03-01
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Series: | Fixed Point Theory and Applications |
Online Access: | http://dx.doi.org/10.1155/FPTA/2006/63939 |