Institute for Mathematical Sciences

Preprint ims08-01

Pierre Berger
Persistance des sous-vari\'et\'es \`a bord et \`a coins normalement dilat\'ees

Abstract: We show that invariant submanifolds with boundary, and more generally with corners which are normally expanded by an endomorphism are persistent as $a$-regular stratifications. This result will be shown in class $C^s$, for $s\ge 1$. We present also a simple example of a submanifold with boundary which is normally expanded but non-persistent as a differentiable submanifold.
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