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math.AP2023★ 2 cited
Extensions of Schoen--Simon--Yau and Schoen--Simon theorems via iteration à la De Giorgi
Costante Bellettini
We give an alternative proof of the Schoen--Simon--Yau curvature estimates and associated Bernstein-type theorems (1975), and extend the original result by including the case of $6…
math.DG2023
On isolated singularities and generic regularity of min-max CMC hypersurfaces
Costante Bellettini, Kobe Marshall-Stevens
In compact Riemannian manifolds of dimension 3 or higher with positive Ricci curvature, we prove that every constant mean curvature hypersurface produced by the Allen-Cahn min-max…