D. Carazzato - A. Pratelli
Non-connected minimal clusters of small volume in a compact Finsler manifold
preprint
Inserted: 10 nov 2026
Last Updated: 10 nov 2026
Year: 2026
Abstract:
We prove that isoperimetric clusters in general Finsler manifolds can be disconnected even when the volume constraint is small. This is in contrast with the Riemannian case and the ``fixed-norm'' case, where connectedness for arbitrarily small volume has recently been proved.