Persistence of normally expanded submanifolds with boundary or corners

2008/03/24 by Berger, Pierre
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.0803.3431

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≥ 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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