Networks Self-Similarly Moving by Curvature with Two Triple Junctions
Networks Self-Similarly Moving by Curvature with Two Triple Junctions
复制标题
具有两个三重结点的曲率自相似移动网络
DOI：
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发表时间：
2017
期刊：
影响因子：
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通讯作者：
C. Mantegazza
中科院分区：
文献类型：
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作者：
P. Baldi;E. Haus;C. Mantegazza
我们证明了在平面上不存在与希腊“Theta”字母（双细胞）同纯的、具有两个夹角为120度的三重结的网络，使得它们在曲率运动下自相似地收缩。这一事实完成了平面上最多有两个三重结点的自相似收缩网络的分类，见[5,7,18]。
We prove that there are no networks homeomorphic to the Greek “Theta” letter (a double cell) embedded in the plane with two triple junctions with angles of 120 degrees, such that under the motion by curvature they are self–similarly shrinking. This fact completes the classification of the self–similarly shrinking networks in the plane with at most two triple junctions, see [5, 7, 18].