论文标题
普遍的扭曲产品和$κ$ - riemannian曲率的nullity
Generalized warped products and the $κ$-nullity of Riemannian curvature
论文作者
论文摘要
在这项简短的调查中,我们展示了如何将两个(均匀曲率,均匀均匀的riemannian歧管歧管)具有非平地$κ$ nullity的歧管的示例,被视为沿着均匀的riemannian umbersion的垂直分布的均质度量的变形。我们还提出了两个开放问题。
In this short survey, we show how two (classes of) known examples of inhomogeneous, curvature homogeneous Riemannian manifolds with nontrivial $κ$-nullity can be seen as deformations of homogeneous metrics along the vertical distribution of an integrable Riemannian submersion. We also pose two open questions.