Positively Expansive Differentiable Maps

Positively Expansive Differentiable Maps

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摘要 We study the space of positively expansive differentiable maps of a compact connected C ∞ Riemannian manifold without boundary. It is proved that （i） the C1-interior of the set of positively expansive differentiable maps coincides with the set of expanding maps, and （ii） Cl-generically, a differentiable map is positively expansive if and only if it is expanding. We study the space of positively expansive differentiable maps of a compact connected C ∞ Riemannian manifold without boundary. It is proved that （i） the C1-interior of the set of positively expansive differentiable maps coincides with the set of expanding maps, and （ii） Cl-generically, a differentiable map is positively expansive if and only if it is expanding.

作者 Kazuhiro SAKAI

机构地区 Department of Mathematics

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 2010年第10期1839-1846,共8页 数学学报（英文版）

基金 Supported by JSPD Gtant-in-Aid for Scientific Research (C)(Grant No.19540209)

关键词 Positively expansive maps expanding marts Positively expansive maps, expanding marts

分类号 O186.12 [理学—基础数学]

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Acta Mathematica Sinica,English Series

2010年第10期

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Positively Expansive Differentiable Maps

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