Tauraso, Roberto

A common fixed point theorem for commuting expanding maps on nilmanifolds

Electron. J. Differ. Equ. 2005, 181-188, electronic only (2005)

Summary

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.

Mathematics Subject Classification

37F15, 57S30, 54M20

Keywords/Phrases

expanding maps, nilmanifolds, fixed points

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