Journal of Differential Geometry · 2017 · 85 citations · 13 references
Natural SciencesGeophysicsTopologyLow-dimensional GeometryCompactness TheoremsLocal CompactnessMinimal Surfaces
We prove a compactness result for minimal hypersurfaces with bounded index and volume,\nwhich can be thought of as an extension of the compactness theorem of Choi–Schoen [4] to\nhigher dimensions.
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Minimal Varieties in Riemannian Manifolds
James Simons · Annals of Mathematics · 1968 · 1.6K citations
On the First Variation of a Varifold
William K. Allard · Annals of Mathematics · 1972 · 836 citations