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 |
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doaj-96a506b5f62141368d093ed82b8b12c0 |
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Article |
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doaj-96a506b5f62141368d093ed82b8b12c02020-11-25T02:26:31ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912005-04-01Conference12181188A common fixed point theorem for commuting expanding maps on nilmanifoldsRoberto TaurasoA 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. http://ejde.math.txstate.edu/conf-proc/12/t1/abstr.htmlExpanding mapsnilmanifoldsfixed points. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Roberto Tauraso |
| spellingShingle |
Roberto Tauraso A common fixed point theorem for commuting expanding maps on nilmanifolds Electronic Journal of Differential Equations Expanding maps nilmanifolds fixed points. |
| author_facet |
Roberto Tauraso |
| author_sort |
Roberto Tauraso |
| title |
A common fixed point theorem for commuting expanding maps on nilmanifolds |
| title_short |
A common fixed point theorem for commuting expanding maps on nilmanifolds |
| title_full |
A common fixed point theorem for commuting expanding maps on nilmanifolds |
| title_fullStr |
A common fixed point theorem for commuting expanding maps on nilmanifolds |
| title_full_unstemmed |
A common fixed point theorem for commuting expanding maps on nilmanifolds |
| title_sort |
common fixed point theorem for commuting expanding maps on nilmanifolds |
| publisher |
Texas State University |
| series |
Electronic Journal of Differential Equations |
| issn |
1072-6691 |
| publishDate |
2005-04-01 |
| description |
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. |
| topic |
Expanding maps nilmanifolds fixed points. |
| url |
http://ejde.math.txstate.edu/conf-proc/12/t1/abstr.html |
| work_keys_str_mv |
AT robertotauraso acommonfixedpointtheoremforcommutingexpandingmapsonnilmanifolds AT robertotauraso commonfixedpointtheoremforcommutingexpandingmapsonnilmanifolds |
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1724846539090690048 |