Persistence of normally expanded submanifolds with boundary or corners

Details Persistence of normally expanded submanifolds with boundary or corners Persistence of normally expanded submanifolds with boundary or corners

2008-03-24

arxiv.org/abs/0803.3431v1

Mathematics

Dynamical Systems

Scientific paper

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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