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Conjecture that the cut locus cannot carry mass at a local minimizer
Cut-locus mass conjecture. The cut locus $C(\mu)$ cannot carry mass if $\mu$ is a local minimizer.
Conjectureopencut-locus intrinsic-means riemannian-geometryarXiv posted 2 days ago

Conjecture that the cut locus cannot carry mass at a local minimizer