S3 × S3 上的近半平面 SU(3) 结构

IF 0.6 4区数学 Q3 MATHEMATICS Differential Geometry and its Applications Pub Date : 2024-09-12 DOI:10.1016/j.difgeo.2024.102187

引用次数: 0

摘要

我们研究了在一个 7 维流形的定向超曲面上诱导出的近乎平行 G2 结构的 SU(3)- 结构。这种 SU(3) 结构被称为近半平面结构。我们描述了 S3×S3 上的左不变近半平面结构。这一特征有助于我们系统地分析S3×S3间隔上的近平行G2结构。

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Nearly half-flat SU(3) structures on S3 × S3

We study the $SU (3)$ -structure induced on an oriented hypersurface of a 7-dimensional manifold with a nearly parallel $G_{2}$ -structure. Such $SU (3)$ -structures are called nearly half-flat. We characterise the left invariant nearly half-flat structures on $S^{3} \times S^{3}$ . This characterisation then helps us to systematically analyse nearly parallel $G_{2}$ -structures on an interval times $S^{3} \times S^{3}$ .

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来源期刊

Differential Geometry and its Applications 数学-数学

CiteScore

1.00

自引率

20.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Differential Geometry and its Applications publishes original research papers and survey papers in differential geometry and in all interdisciplinary areas in mathematics which use differential geometric methods and investigate geometrical structures. The following main areas are covered: differential equations on manifolds, global analysis, Lie groups, local and global differential geometry, the calculus of variations on manifolds, topology of manifolds, and mathematical physics.

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