Special Lagrangian Submanifolds and Cohomogeneity One Actions on the Complex Projective Space

被引：0

作者：

Arai, Masato ^{[1
]}

Baba, Kurando ^{[2
]}

机构：

[1] Yamagata Univ, Fac Sci, Yamagata 9908560, Japan

[2] Tokyo Univ Sci, Fac Sci & Technol, Dept Math, Noda, Chiba 2788510, Japan

来源：

TOKYO JOURNAL OF MATHEMATICS | 2019年 / 42卷 / 01期

关键词：

special Lagrangian submanifold; Calabi-Yau manifold; calibration; cohomogeneity one action;

D O I：

10.3836/tjm/1502179289

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct examples of cohomogeneity one special Lagrangian submanifolds in the cotangent bundle over the complex projective space, whose Calabi-Yau structure was given by Stenzel. For each example, we describe the condition of special Lagrangian as an ordinary differential equation. Our method is based on a moment map technique and the classification of cohomogeneity one actions on the complex projective space classified by Takagi.

引用

页码：255 / 284

页数：30

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