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MiS Preprint
41/2003
On the Sobolev space of isometric immersions
Mohammed Reza Pakzad
Abstract
We prove that every $W^{2,2}$ isometric immersion from a convex regular domain of ${\mathbb R}^2$ into ${\mathbb R}^3$ can be approximated in $W^{2,2}$-norm by smooth isometric immersions from the same domain into ${\mathbb R}^3$.
