论文标题
与平行无曲折扭转的度量连接
Metric connections with parallel twistor-free torsion
论文作者
论文摘要
Riemannian歧管上每个度量连接的扭转具有三个组成部分：一种完全偏斜的对称性，一种矢量类型，是一种扭曲类型之一。在本文中，我们将完整的完整连接的riemannian歧管分类，该歧管带有一个平行的扭转，具有非零的矢量成分和消失的扭曲组件。
The torsion of every metric connection on a Riemannian manifold has three components: one totally skew-symmetric, one of vectorial type, and one of twistorial type. In this paper we classify complete simply connected Riemannian manifolds carrying a metric connection whose torsion is parallel, has non-zero vectorial component and vanishing twistorial component.
