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Rotational Symmetry of Solutions of Mean Curvature Flow Coming Out of a Double Cone

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Abstract

We show that any smooth solution to the mean curvature flow equations coming out of a rotationally symmetric double cone is also rotationally symmetric.

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Acknowledgements

The author would like to thank his advisor, Jacob Bernstein, for numerous helpful advice and constant encouragement, especially during a period of extreme difficulty around the globe. The author would also like to thank Rory Martin-Hagemeyer for useful discussions.

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Correspondence to Letian Chen.

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Chen, L. Rotational Symmetry of Solutions of Mean Curvature Flow Coming Out of a Double Cone. J Geom Anal 32, 250 (2022). https://doi.org/10.1007/s12220-022-00988-y

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