Second Order Rectifiability of Integral Varifolds of Locally Bounded First Variation

By Ulrich Menne. 2008

60 citations recorded by the source corpus.

It is shown that every integral varifold in an open subset of Euclidean space whose first variation with respect to area is representable by integration can be covered by a countable collection of submanifolds of the same dimension of class 2 and that their mean curvature agrees almost everywhere with the variationally defined generalized mean curvature of the varifold.

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/6d1436f695e864d24ae71bdf7926ea3ba6504432

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In Applied Mathematics

1. Lami Kim
2. Yoshihiro Tonegawa
3. Kota Kasai

In Computational Theory and Mathematics

1. Lami Kim
2. Yoshihiro Tonegawa
3. Kota Kasai

Citations in the corpus

• On the mean curvature flow of grain boundaries (2015, background): “One may also understand this property in connection with C2 rectifiability of varifold established in [38].”