The G2 sphere of a 4-manifold

被引：0

作者：

R. Albuquerque

I. M. C. Salavessa

机构：

[1] Departamento de Matemática da Universidade de Évora and Centro de Investigação em Matemática e Aplicações (CIMA),Centro de Fí sica das Interacções Fundamentais (CFIF)

[2] Instituto Superior Técnico,undefined

来源：

Monatshefte für Mathematik | 2009年 / 158卷

关键词：

Connections on principal bundles; Sphere bundle; structure; Einstein manifold; Holonomy; 53C25; 53C28; 53C38;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We bring to light a G2 structure existing on the unit sphere tangent bundle SM of any given orientable Riemannian 4-manifold M. The associated 3-form φ is co-calibrated if, and only if, M is an Einstein manifold—a result which leads to new examples of co-calibrated G2 spaces. We hope to be contributing both to the knowledge of special geometries and to the study of 4-manifolds.

引用

页码：335 / 348

页数：13

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