论文标题
完全非斜线歧管上的正标度曲率指标的空间具有自旋边界
Spaces of Positive Scalar Curvature metrics on totally nonspin Manifolds with spin boundary
论文作者
论文摘要
在本文中，我们研究了带有自旋边界的完全非单刺歧管上的正标度曲率指标的空间。我们证明，对于某些维度的这种歧管，这些空间没有连接，并且具有非平凡的基本组。此外，我们表明，一种众所周知的传播技术，用于检测到旋转歧管上正标准曲率指标空间的结果，在完全非替素案例中停止工作。
In this article we study the space of positive scalar curvature metrics on totally nonspin manifolds with spin boundary. We prove that for such manifolds of certain dimensions, those spaces are not connected and have nontrivial fundamental group. Furthermore we show that a well-known propagation technique for detection results on spaces of positive scalar curvature metrics on spin manifolds ceases to work in the totally nonspin case.
