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arXiv · 2508.07900

The Rigidity Theorem of Legendrian self-shrinkers

Shu-Cheng Chang·Hongbing Qiu·Liuyang Zhang
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Abstract

By estimating the weighted volume, we obtain the optimal volume growth for Legendrian self-shrinkers. This, in turn, yields a rigidity theorem for entire smooth Legendrian self-shrinkers in the standard contact Euclidean (2n+1)-space.

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Shu-Cheng Chang, Hongbing Qiu, Liuyang Zhang. 2025-08-11. The Rigidity Theorem of Legendrian self-shrinkers. https://arxiv.org/abs/2508.07900

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