惠特尼球的拉格朗日平均曲率流

IF 2 1区数学

Geometry & Topology Pub Date : 2018-02-17 DOI:10.2140/gt.2019.23.1057

A. Savas-Halilaj, Knut Smoczyk

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引用次数: 15

摘要

证明了具有正里奇曲率条件的等变拉格朗日球在拉格朗日平均曲率流下具有ii型奇点，该奇异流可缩放为死神与平坦拉格朗日子空间的乘积。这个结果特别适用于惠特尼球。

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Lagrangian mean curvature flow of Whitney spheres

It is shown that an equivariant Lagrangian sphere with a positivity condition on its Ricci curvature develops a type-II singularity under the Lagrangian mean curvature flow that rescales to the product of a grim reaper with a flat Lagrangian subspace. In particular this result applies to the Whitney spheres.

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来源期刊

Geometry & Topology 数学-数学

自引率

5.00%

发文量

期刊介绍： Geometry and Topology is a fully refereed journal covering all of geometry and topology, broadly understood. G&T is published in electronic and print formats by Mathematical Sciences Publishers. The purpose of Geometry & Topology is the advancement of mathematics. Editors evaluate submitted papers strictly on the basis of scientific merit, without regard to authors" nationality, country of residence, institutional affiliation, sex, ethnic origin, or political views.