We prove that the support of an m dimensional rectifiable varifold with a uniform lower bound on the density and bounded generalized mean curvature can be covered Hm almost everywhere by a countable union of m dimensional submanifolds of class C2. The C2-regularity of the submanifolds is optimal.
Second order rectifiability of varifolds of bounded mean curvature
Santilli M.
2021-01-01
Abstract
We prove that the support of an m dimensional rectifiable varifold with a uniform lower bound on the density and bounded generalized mean curvature can be covered Hm almost everywhere by a countable union of m dimensional submanifolds of class C2. The C2-regularity of the submanifolds is optimal.File in questo prodotto:
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