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

Gorodski, Claudio, Guimarães, Felippe

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.

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