用广义垂直对称构造特殊拉格朗日子流形

IF 0.4 4区数学 Q4 MATHEMATICS

Tokyo Journal of Mathematics Pub Date : 2019-07-17 DOI:10.3836/TJM/1502179306

Akifumi Ochiai

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引用次数: 0

摘要

我们给出了一种利用广义垂直对称性从Calabi-Yau流形中给定的拉格朗日子流形L构造拉格朗日子流形的方法。我们使用李群作用的矩映射，它不一定是阿贝尔的。利用我们的方法，我们在球面的余切丛中构造了一些非平凡的例子，这些球面是配备有Stenzel度量的非平坦Calabi-Yau流形。

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A Construction of Special Lagrangian Submanifolds by Generalized Perpendicular Symmetries

We show a method to construct a special Lagrangian submanifold L' from a given special Lagrangian submanifold L in a Calabi-Yau manifold with the use of generalized perpendicular symmetries. We use moment maps of the actions of Lie groups, which are not necessarily abelian. By our method, we construct some non-trivial examples in the cotangent bundles of the spheres which are non-flat Calabi-Yau manifolds equipped with the Stenzel metrics.

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来源期刊

Tokyo Journal of Mathematics MATHEMATICS-

CiteScore

0.70

自引率

16.70%

发文量

审稿时长

>12 weeks

期刊介绍： The Tokyo Journal of Mathematics was founded in 1978 with the financial support of six institutions in the Tokyo area: Gakushuin University, Keio University, Sophia University, Tokyo Metropolitan University, Tsuda College, and Waseda University. In 2000 Chuo University and Meiji University, in 2005 Tokai University, and in 2013 Tokyo University of Science, joined as supporting institutions.