Diffeomorphic souls and disconnected moduli spaces of nonnegatively curved metrics

IF 0.8 4区数学 Q2 MATHEMATICS

Annales De L Institut Fourier Pub Date : 2020-05-12 DOI:10.5802/aif.3471

I. Belegradek, David Gonz'alez-'Alvaro

引用次数: 1

Abstract

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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非负弯曲度量的微分灵魂与不连通模空间

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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来源期刊

Annales De L Institut Fourier 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

1 months

期刊介绍： The Annales de l’Institut Fourier aim at publishing original papers of a high level in all fields of mathematics, either in English or in French. The Editorial Board encourages submission of articles containing an original and important result, or presenting a new proof of a central result in a domain of mathematics. Also, the Annales de l’Institut Fourier being a general purpose journal, highly specialized articles can only be accepted if their exposition makes them accessible to a larger audience.