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arXiv · 1802.02396

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

Qing-Ming Cheng·Hiroaki Hori·Guoxin Wei
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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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Qing-Ming Cheng, Hiroaki Hori, Guoxin Wei. 2018-02-07. Complete Lagrangian self-shrinkers in $\mathbf R^4$. https://arxiv.org/abs/1802.02396

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