C¹-regularity for local graph representations of immersions
classification
🧮 math.DG
keywords
graphimmersionsnormrepresentationssmalladmittingaffineball
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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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