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Stable Manifolds of a Map and a Flow for a Compact Manifold
Published online by Cambridge University Press: 22 January 2016
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The purpose of this paper is to generalize the notion of the stable manifolds in Smale [5] and [6], in which the stable manifolds of flows or diifeomorphisms for a singular point or a closed orbit are defined in certain conditions. This generalization is concerned with Fenichel [1], He considers the stable manifolds of flows and diifeomorphisms for a torus. Here, we consider the case of a compact manifold. But our argument does not exactly imply Fenichel’s result.
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- Copyright © Editorial Board of Nagoya Mathematical Journal 1971