PreprintCC BY 4.0arXiv
Non-connected minimal clusters of small volume in a compact Finsler manifold
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.
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BibTeX
@misc{carazzato2026nonconnected,
title = {{Non-connected minimal clusters of small volume in a compact Finsler manifold}},
author = {D. Carazzato and A. Pratelli},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.12507},
eprint = {2611.12507},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.12507},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Non-connected minimal clusters of small volume in a compact Finsler manifold
AU - D. Carazzato
AU - A. Pratelli
PY - 2026
DA - 2026/11/09
PB - arXiv
DO - 10.48550/arxiv.2611.12507
UR - https://arxiv.org/abs/2611.12507
AB - 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.
ER -