C^1-regularity for local graph representations of immersions

Details C^1-regularity for local graph representations of immersions C^1-regularity for local graph representations of immersions

2012-01-24

arxiv.org/abs/1201.5074v1

Mathematics

Differential Geometry

Scientific paper

We consider immersions admitting uniform graph representations over the
affine tangent space over a ball of fixed radius r>0. We show that for
sufficiently small C^0-norm of the graph functions, each graph function is
smooth with small C^1-norm.

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