For generic metrics on the n-torus, gaps in laminations by area-minimizing hypersurfaces contain non-area-minimizing minimal hypersurfaces, yielding a recurrence property for totally irrational minimal foliations.
On foliations ofRn+1 by minimal hypersurfaces
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A min-max gap characterization of minimal foliations on the torus
For generic metrics on the n-torus, gaps in laminations by area-minimizing hypersurfaces contain non-area-minimizing minimal hypersurfaces, yielding a recurrence property for totally irrational minimal foliations.