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arXiv · 1705.06255

Compactness analysis for free boundary minimal hypersurfaces

Lucas Ambrozio·Alessandro Carlotto·Ben Sharp
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Abstract

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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Lucas Ambrozio, Alessandro Carlotto, Ben Sharp. 2017-05-17. Compactness analysis for free boundary minimal hypersurfaces. https://arxiv.org/abs/1705.06255

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