Persistence of normally expanded submanifolds with boundary or corners

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dc.creatorBerger, Pierre
dc.date2008-03-24
dc.date.accessioned2026-07-07T09:28:07Z
dc.date.available2026-07-07T09:28:07Z
dc.descriptionWe 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.
dc.identifierhttps://arxiv.org/abs/0803.3431
dc.identifierhttp://arxiv.org/abs/0803.3431
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/157342
dc.subjectDynamical Systems
dc.titlePersistence of normally expanded submanifolds with boundary or corners
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