Under epsilon-regularity assumptions on a suitable class of stationary integral n-varifolds, the branch set of density ≤ Q has Hausdorff dimension ≤ n-2.
Onδ-stable minimal hypersurfaces inR n+1.arXiv preprint arXiv:2407.03222,
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
fields
math.DG 3representative citing papers
Proves new criticality and splitting theorems for operators with spectral Ricci bounds, then classifies 1/3-stable minimal hypersurfaces in R^4 as one-ended or catenoids and δ-stable ones with δ>1/3 as hyperplanes.
citing papers explorer
-
A Branch Set Stratification for Stationary Varifolds with Epsilon-Regularity
Under epsilon-regularity assumptions on a suitable class of stationary integral n-varifolds, the branch set of density ≤ Q has Hausdorff dimension ≤ n-2.
-
Criticality, splitting theorems under spectral Ricci bounds and the topology of stable minimal hypersurfaces
Proves new criticality and splitting theorems for operators with spectral Ricci bounds, then classifies 1/3-stable minimal hypersurfaces in R^4 as one-ended or catenoids and δ-stable ones with δ>1/3 as hyperplanes.
- Regularity of stable capillary minimal hypersurfaces