Geodesic
Stable constant-mean-curvature hypersurfaces are area minimizing in small $L^1$ neighborhoods
Frank Morgan1 ; Antonio Ros2
1Williams College, Williamstown, USA
2Universidad de Granada, Spain
Interfaces and free boundaries, Tome 12 (2010) no. 2, pp. 151-155

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DOI

We prove that a strictly stable oriented constant-mean-curvature hypersurface in a smooth closed manifold of dimension less than or equal to 7 is uniquely homologically area minimizing for fixed volume in a small _L_1 neighborhood, proving a conjecture of Choksi and Sternberg.
DOI : 10.4171/ifb/230
Classification : 35-XX, 65-XX, 76-XX, 92-XX

Frank Morgan  1   ; Antonio Ros  2

1 Williams College, Williamstown, USA
2 Universidad de Granada, Spain 
Frank Morgan; Antonio Ros. Stable constant-mean-curvature hypersurfaces are area minimizing in small $L^1$ neighborhoods. Interfaces and free boundaries, Tome 12 (2010) no. 2, pp. 151-155. doi: 10.4171/ifb/230
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     title = {Stable constant-mean-curvature hypersurfaces are area minimizing in small $L^1$ neighborhoods},
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     pages = {151--155},
     year = {2010},
     volume = {12},
     number = {2},
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     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/230/}
}
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