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

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11697/176962
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