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A frequency function and singular set bounds for branched minimal immersions
frequency function singular branched minimal immersions
2011/2/25
In [Wic08], the second author established a local C1,α partial regularity theory for stable
branched minimal hypersurfaces of multiplicity < 3. The main regularity theorem of [Wic08] in particular im...
Singular set of a Levi-flat hypersurface is Levi-flat
Singular set Levi-flat hypersurface Levi-flat
2011/3/1
We study the singular set of a singular Levi-flat real-analytic hypersurface.We prove that the singular set of such a hypersurface is Levi-flat in the appropriate sense.We also show that if the singul...
On the singular set of mean curvature flows with Neumann free boundary conditions
singular set of mean curvature flows Neumann free boundary conditions
2011/1/17
We consider n-dimensional hypersurfaces flowing by mean curvature flow with Neumann free
boundary conditions supported on a smooth support surface. We show that the Hausdorff n-measure of the singula...