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We find and classify self-similar solutions of the curve shortening flow in standard hyperbolic 2-space. Together with earlier work of Halldórsson on curve shortening flow in the plane and Santos dos Reis and Tenenblat in the 2-sphere, this completes the classification of self-similar curve shortening flows in the constant curvature model spaces in 2-dimensions.
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NP-RC-274358 is Ran Xie's permanent number in the Ricci flow community on Neckpinch. It stays with them through any change of name or post. More about these numbers.
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