Local non-collapsing of volume for the Lagrangian mean curvature flow

Local non-collapsing of volume for the Lagrangian mean curvature flow
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拉格朗日平均曲率流的体积局部非塌缩

DOI:
10.1007/s00526-018-1458-z
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发表时间:
2019
影响因子:
2.1
通讯作者:
K. Smoczyk
K. Smoczyk
中科院分区:
数学2区
文献类型:
--
作者:
K. Smoczyk

文献摘要

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证明了在Calabi-Yau流形中几乎标定子流形的重参数化拉格朗日平均曲率流下,可测集的时间依赖测度的最优控制。此外,我们还给出了由这种重参数化流演化的拉格朗日平移孤子的分类.
We prove an optimal control on the time-dependent measure of a measurable set under a reparametrized Lagrangian mean curvature flow of almost calibrated submanifolds in a Calabi–Yau manifold. Moreover we give a classification of those Lagrangian translating solitons inthat evolve by this reparametrized flow.