Complete Lagrangian self-shrinkers in $\mathbf R^4$

Published 7 Feb 2018 in math.DG | (1802.02396v2)

Abstract: The purpose of this paper is to study complete self-shrinkers of mean curvature flow in Euclidean spaces. In the paper, we give a complete classification for 2-dimensional complete Lagrangian self-shrinkers in Euclidean space $\mathbb R^4$ with constant squared norm of the second fundamental form.

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