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
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