PERIODIC POINTS OF LATITUDINAL MAPS OF THE m-DIMENSIONAL SPHERE
نویسنده
چکیده
Let f be a smooth self-map of the m-dimensional sphere S. Under the assumption that f preserves latitudinal foliations with the fibres S, we estimate from below the number of fixed points of the iterations of f . The paper generalizes the results obtained by Pugh and Shub and by Misiurewicz.
منابع مشابه
Periodic Points of Latitudinal Sphere Maps
For the maps of the two-dimensional sphere into itself that preserve the latitude foliation and are differentiable at the poles, lower estimates of the number of fixed points for the maps and their iterates are obtained. Those estimates also show that the growth rate of the number of fixed points of the iterates is larger than or equal to the logarithm of the absolute value of the degree of the...
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