论文标题
具有正曲率和非proper busemann函数的开放流形的示例
Examples of open manifolds with positive Ricci curvature and non-proper Busemann functions
论文作者
论文摘要
我们给出了一个开放式歧管的第一个示例，该示例在某个点上为阳性RICCI曲率和非操纵器Busemann函数提供了示例。这为长期众所周知的开放问题提供了反例，是否适当的是具有非负RICCI曲率的开放式歧管的busemann函数。
We give the first example of an open manifold with positive Ricci curvature and a non-proper Busemann function at a point. This provides counterexamples to a longtime well-known open question whether the Busemann function at a point of an open manifold with nonnegative Ricci curvature is proper.
