English

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

Differential Geometry 2018-05-10 v2

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 R4\mathbb R^4 with constant squared norm of the second fundamental form.

Cite

@article{arxiv.1802.02396,
  title  = {Complete Lagrangian self-shrinkers in $\mathbf R^4$},
  author = {Qing-Ming Cheng and Hiroaki Hori and Guoxin Wei},
  journal= {arXiv preprint arXiv:1802.02396},
  year   = {2018}
}

Comments

53 pages

R2 v1 2026-06-23T00:14:26.281Z