复欧几里得平面中拉格朗日球面的平均曲率流演化
微分几何
2018-02-12 v2
摘要
我们描述了复欧几里得平面 中嵌入拉格朗日球面的平均曲率流演化。特别地，我们回答了A. Neves在[Ne10b]中提出的Question 4.7，该问题关于寻找 中初始拉格朗日环面满足的条件，使得相应的平均曲率流在有限时间内灭绝，并在重新缩放后收敛到Clifford环面。
引用
@article{arxiv.1603.03229,
title = {Evolution by mean curvature flow of Lagrangian spherical surfaces in complex Euclidean plane},
author = {Ildefonso Castro and Ana M. Lerma and Vicente Miquel},
journal= {arXiv preprint arXiv:1603.03229},
year = {2018}
}
备注
13 pages. This new version includes drafting changes in some points to make the paper more readable and the deletion of the old Theorem B because the proof was incomplete. Accepted in Journal of Mathematical Analysis and Applications