Published Paper
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Inserted: 9 oct 2008
Last Updated: 9 nov 2026

Journal: J. Funct. Anal.
Volume: 255
Pages: 3274-3280
Year: 2008
Doi: 10.1016/j.jfa.2008.10.010

Abstract:

We exhibit explicit Lipschitz maps from $\mathbf{R}^{n}$ to $\mathbf{R}^{n}$ which have almost everywhere orthogonal gradient and are equal to zero on the boundary of a cube. We solve the problem by induction on the dimension $n$.

Keywords: isometry, rigid maps

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