Submitted by math_admin on Thu, 03/05/2020 - 13:23
preprint-id:
preprint-title:
Persistence of normally expanded submanifolds with boundary or corners
preprint-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.
preprint-year:
2008