Positively expansive differentiable maps |
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| Authors: | Kazuhiro Sakai |
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| Institution: | 1. Department of Mathematics, Utsunomiya University, Utsunomiya, 321-8505, Japan
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| Abstract: | We study the space of positively expansive differentiable maps of a compact connected C
∞ Riemannian manifold without boundary. It is proved that (i) the C
1-interior of the set of positively expansive differentiable maps coincides with the set of expanding maps, and (ii) C
1-generically, a differentiable map is positively expansive if and only if it is expanding. |
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| Keywords: | Positively expansive maps expanding marts |
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