Ilmanen's Lemma on Insertion of C$^{1,1}$ Functions

Details Ilmanen's Lemma on Insertion of C$^{1,1}$ Functions Ilmanen's Lemma on Insertion of C$^{1,1}$ Functions

2010-07-20

arxiv.org/abs/1007.3463v1

Mathematics

Differential Geometry

17 pages, 1 figure, accepted for publication in Rend. Semin. Mat. Univ. Padova

Scientific paper

We give a proof of Ilmanen's lemma, which asserts that between a locally
semi-convex and a locally semi-concave function it is possible to find a
C$^{1,1}$ function.

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