Mathematics > Metric Geometry
arXiv:2605.29804 (math)
[Submitted on 28 May 2026]
Abstract:In this paper we prove the WALA conjecture.
| Comments: | Preliminary version. This draft proves the WALA conjecture and a qualitative analogue. The methods also yield the more general GWALA conjecture, which will be the main formulation in a future version. Further sections, including applications developed jointly with Michele Villa and Mihalis Mourgoglou, will be added in a subsequent version |
| Subjects: | Metric Geometry (math.MG); Analysis of PDEs (math.AP); Classical Analysis and ODEs (math.CA); Functional Analysis (math.FA) |
| MSC classes: | (Primary) 28A75 (Secondary) 49Q15, 26B05, 30L05, 30L15 |
| Cite as: | arXiv:2605.29804 [math.MG] |
| (or arXiv:2605.29804v1 [math.MG] for this version) | |
| https://doi.org/10.48550/arXiv.2605.29804 arXiv-issued DOI via DataCite (pending registration) |
Submission history
From: Andrea Merlo [view email]
[v1]
Thu, 28 May 2026 11:49:16 UTC (130 KB)
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