Stable constant mean curvature hypersurfaces are area minimizing in small L^1 neighborhoods

Details Stable constant mean curvature hypersurfaces are area minimizing in small L^1 neighborhoods Stable constant mean curvature hypersurfaces are area minimizing in small L^1 neighborhoods

2008-11-19

arxiv.org/abs/0811.3126v1

Mathematics

Differential Geometry

5 pages, 1 figure

Scientific paper

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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