Area-preserving Surface Diffeomorphisms
نویسنده
چکیده
We prove some generic properties for Cr , r = 1, 2, . . . ,∞, areapreserving diffeomorphism on compact surfaces. The main result is that the union of the stable (or unstable) manifolds of hyperbolic periodic points are dense in the surface. This extends the result of Franks and Le Calvez [8] on S to general surfaces. The proof uses the theory of prime ends and Lefschetz fixed point theorem.
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