Stable constant mean curvature hypersurfaces are area minimizing in small L¹ neighborhoods
classification
🧮 math.DG
keywords
areaminimizingsmallstableconstantconstant-mean-curvaturecurvaturedimension
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We prove that a strictly stable constant-mean-curvature hypersurface in a smooth manifold of dimension less than or equal to 7 is uniquely homologically area minimizing for fixed volume in a small L^1 neighborhood.
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