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Results tagged with rigidity
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user 943
9
votes
Are all maps $\mathbb{R}^2 \to \mathbb{R}^2$ with fixed singular values affine?
I would like to propose a simple local example:
Consider the map in polar coordinates, $\mathbb C\to \mathbb C$ that takes a complex number $z=e^{2\pi i \theta}r$ to $e^{(\sigma_1/\sigma_2)\cdot 2\p …
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