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The projection of a rectifiable Legendrian set is C2-rectifiable: a simplified proof

Published online by Cambridge University Press:  12 July 2007

Silvano Delladio
Silvano Delladio
Affiliation:
Dipartimento di Matematica, Università di Trento, 38050 Povo, Trento, Italy (delladio@@science.unitn.it)
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Abstract

We provide a simplified proof of the following well-known theorem. The projection to Rn + 1of an n-dimensional rectifiable Legendrian subset of Rn+1 × Snis C2-rectifiable. Such a result generalizes the following simple fact. Let M be a hypersurface whose Gauss map has graph of class C1. Then M is of class C2.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 133 , Issue 1 , February 2003 , pp. 85 - 96
Copyright
Copyright © Royal Society of Edinburgh 2003

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