Report
Isoperimetry of singular CMC hypersurfaces
| Τίτλος: | Isoperimetry of singular CMC hypersurfaces |
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| Συγγραφείς: | Marshall-Stevens, Kobe, Niu, Gongping |
| Έτος έκδοσης: | 2026 |
| Θεματικοί όροι: | Differential Geometry, 53A10, 49Q10, 49Q20 |
| Περιγραφή: | We produce the first examples of singular isoperimetric boundaries with non-zero constant mean curvature in Riemannian manifolds. The main technical ingredient is establishing that, for constant mean curvature hypersurfaces containing isolated singularities modelled on strictly stable, strictly minimising regular tangent cones, weak strict stability implies local unique volume-constrained minimisation. 21 pages, 1 figure |
| Τύπος εγγράφου: | Working Paper |
| DOI: | 10.48550/arXiv.2610.13423 |
| Σύνδεσμος πρόσβασης: | https://arxiv.org/abs/2610.13423 |
| Αριθμός Καταχώρησης: | edsarx.2610.13423 |
| Βάση Δεδομένων: | arXiv |
| DOI: | 10.48550/arXiv.2610.13423 |
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