C¹-Stably Positively Expansive Maps
Kazuhiro Sakai
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 52 (2004), p. 197-209 / Harvested from The Polish Digital Mathematics Library
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The notion of C¹-stably positively expansive differentiable maps on closed C∞ manifolds is introduced, and it is proved that a differentiable map f is C¹-stably positively expansive if and only if f is expanding. Furthermore, for such maps, the ε-time dependent stability is shown. As a result, every expanding map is ε-time dependent stable.

Publié le : 2004-01-01
EUDML-ID : urn:eudml:doc:280406 
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Kazuhiro Sakai. C¹-Stably Positively Expansive Maps. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 52 (2004) pp. 197-209. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba52-2-10/