Compactness analysis for free boundary minimal hypersurfaces
classification
🧮 math.DG
keywords
boundarycompactnessconvergencefreehypersurfacesminimalanalysisbehaviour
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We investigate compactness phenomena involving free boundary minimal hypersurfaces in Riemannian manifolds of dimension less than eight. We provide natural geometric conditions that ensure strong one-sheeted graphical subsequential convergence, discuss the limit behaviour when multi-sheeted convergence happens and derive various consequences in terms of finiteness and topological control.
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