# Self-similar curve shortening flow in hyperbolic 2-space

@inproceedings{Woolgar2021SelfsimilarCS, title={Self-similar curve shortening flow in hyperbolic 2-space}, author={Eric Woolgar and Ran Xie}, year={2021} }

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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