A common fixed point theorem for commuting expanding maps on nilmanifolds
A self-map $f$ of a compact connected manifold $M$ is expanding if it locally expands distances with respect to some metric. We consider the case when $M$ is a nilmanifold and we discuss a new common fixed point theorem for two expanding maps which commute.
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| Format: | Article |
| Language: | English |
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Texas State University
2005-04-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/conf-proc/12/t1/abstr.html |
| Summary: | A self-map $f$ of a compact connected manifold $M$ is expanding if it locally expands distances with respect to some metric. We consider the case when $M$ is a nilmanifold and we discuss a new common fixed point theorem for two expanding maps which commute. |
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| ISSN: | 1072-6691 |