论文标题

阳性曲率指标在自旋歧管上的空间

The space of positive Ricci curvature metrics on spin manifolds

论文作者

Burdick, Bradley Lewis

论文摘要

在本说明中,我们表明,k-1尺寸4K-1的旋转歧管上的所有指标的空间至少有2个路径成分,只要歧管承认了一种非常特殊的度量,就具有无限的许多路径成分。

In this note we show that the space of all metrics of positive Ricci curvature on a spin manifold of dimension 4k-1 for k at least 2 has infinitely many path components provided that the manifold admits a very particular kind of metric.

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