Abstract:We give characterizations of sharp minimizers that emphasize their geometric properties. These include tilt invariance and weak upper gradient conditions. We relate sharp minimality to cusps in nonsmooth manifolds when interpreted locally as graphs and connect the rolling of tangent planes to the tilting of functions.
| Subjects: | Optimization and Control (math.OC) |
| Cite as: | arXiv:2605.24766 [math.OC] |
| (or arXiv:2605.24766v1 [math.OC] for this version) | |
| https://doi.org/10.48550/arXiv.2605.24766 arXiv-issued DOI via DataCite (pending registration) |
From: Alberto Domínguez Corella [view email]
[v1]
Sat, 23 May 2026 22:57:53 UTC (780 KB)
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