论文标题

没有真正的投影或平坦的保形结构的歧管

Manifolds without real projective or flat conformal structures

论文作者

Ruffoni, Lorenzo

论文摘要

在任何维度至少五个维度中,我们构建具有以下特性的闭合光滑歧管的示例:1)它们既没有真实的投射性也没有平坦的保形结构; 2)他们的基本组是一个非优质格罗莫夫双曲线组。这些示例是通过相对严格的倍增性获得的。

In any dimension at least five we construct examples of closed smooth manifolds with the following properties: 1) they have neither real projective nor flat conformal structures; 2) their fundamental group is a non-elementary Gromov hyperbolic group. These examples are obtained via relative strict hyperbolization.

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