Existence of Self-Cheeger Sets on Riemannian Manifolds

Ignace Aristide Minlend

Let $(\mathcal{M},g)$ be a compact Riemannian manifold of dimension $N\ge 2$. We prove the existence of a family $({\Omega }_{\epsilon }{)}_{\epsilon \in (0,{\epsilon }_0)}$ of self-Chee…