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math.DG2022
Embeddedness of Min-Max CMC Hypersurfaces in Manifolds with Positive Ricci Curvature
Costante Bellettini, Myles Workman
We prove that on a compact Riemannian manifold of dimension or higher, with positive Ricci curvature, the Allen--Cahn min-max scheme (implemented by the first author and N. Wic…
math.DG2022
Hypersurfaces with mean curvature prescribed by an ambient function: compactness results
Costante Bellettini
We consider, in a first instance, the class of boundaries of sets with locally finite perimeter whose (weakly defined) mean curvature is , for a given continuous positive ambi…