非负弯曲度量的微分灵魂与不连通模空间

Pub Date : 2020-05-12 DOI:10.5802/aif.3471

I. Belegradek, David Gonz'alez-'Alvaro

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引用次数: 1

摘要

我们给出了开流形的例子，这些开流形携带无限多个非负截面曲率的完全度量，使得它们都有相同的灵魂，并且它们的等距类位于模空间的不同连通分量中。所有先前已知的这类例子都有同维度一的灵魂。在我们的例子中，灵魂有三维和二维。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Diffeomorphic souls and disconnected moduli spaces of nonnegatively curved metrics

We give examples of open manifolds that carry infinitely many complete metrics of nonnegative sectional curvature such that they all have the same soul, and their isometry classes lie in different connected components of the moduli space. All previously known examples of this kind have souls of codimension one. In our examples the souls have codimensions three and two.

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