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Minimal disks and two-convex hypersurfaces
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 124, Number 3, June 2002
- pp. 483-493
- 10.1353/ajm.2002.0013
- Article
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Abstract
In this paper we apply an existence theory and estimates on the Morse index of minimal two-spheres and minimal disks with free boundary in two-convex domains in Euclidean space and in manifolds with positive isotropic curvature, to study the topology of two-convex domains.
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