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Area preserving homeomorphisms of open surfaces of genus zero. (English) Zbl 0891.58033
The author shows that an area preserving homeomorphism of the open annulus which has at least one periodic point must have infinitely many interior periodic points. He clarifies that the result has been claimed in an earlier paper [J. Franks, Invent. Mat. 108, No. 2, 403-418 (1992; Zbl 0766.53037)], but the proof contained a gap.

MSC:
37C25 Fixed points and periodic points of dynamical systems; fixed-point index theory, local dynamics
37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems
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