2004 Conference on Diff. Eqns. and Appl. in Math. Biology, Nanaimo, BC, Canada.
Electron. J. Diff. Eqns., Conference 12, 2005, pp. 181-188.

A common fixed point theorem for commuting expanding maps on nilmanifolds

Roberto Tauraso

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.

Published April 20, 2005.
Math Subject Classifications: 37F15, 57S30, 54M20.
Key Words: Expanding maps; nilmanifolds; fixed points.

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Dipartimento di Matematica
Universitá degli Studi di Roma "Tor Vergata"
Via della Ricerca Scientifica, 00133 Roma, Italy
email: tauraso@mat.uniroma2.it

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