论文标题

具有有界曲率和均匀为正标曲率的三个字体

Three-manifolds with bounded curvature and uniformly positive scalar curvature

论文作者

Dong, Conghan

论文摘要

在本说明中,我们证明,对于完整的非2级三维riemannian歧管,具有有界截面曲率的歧管,如果它具有均匀的正标曲率,则在注射率半径上有一个均匀的下限。

In this note, we prove that for a complete noncompact three dimensional Riemannian manifold with bounded sectional curvature, if it has uniformly positive scalar curvature, then there is a uniform lower bound on the injectivity radius.

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