Axiom a Flows with a Transverse Torus
نویسنده
چکیده
Let X be an Axiom A flow with a transverse torus T exhibiting a unique orbit O that does not intersect T . Suppose that there is no nullhomotopic closed curve in T contained in either the stable or unstable set of O. Then we show that X has either an attracting periodic orbit or a repelling periodic orbit or is transitive. In particular, an Anosov flow with a transverse torus is transitive if it has a unique periodic orbit that does not intersect the
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تاریخ انتشار 2002