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The Rigidity Theorem of Legendrian self-shrinkers

Published 11 Aug 2025 in math.DG | (2508.07900v1)

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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