论文标题
非弯曲指标的差异灵魂和断开的模量空间
Diffeomorphic souls and disconnected moduli spaces of nonnegatively curved metrics
论文作者
论文摘要
我们提供了开放流形的示例,这些示例具有无限的非负分段曲率的完整指标,以使它们都具有相同的灵魂,并且它们的等轴测类别位于Moduli空间的不同连接组件中。此类以前已知的例子都有编辑的灵魂。在我们的例子中,灵魂有三个和第二个。
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.