论文标题

NNSC填充不存在的含量较大

Nonexistence of NNSC fill-ins with large mean curvature

论文作者

Miao, Pengzi

论文摘要

在本说明中,我们表明,如果平均曲率明显较大,则封闭的riemannian歧管不接受非负标态曲率的填充。类似的结果也适用于带有负标态曲率下限的填充。

In this note we show that a closed Riemannian manifold does not admit a fill-in with nonnegative scalar curvature if the mean curvature is point-wise large. Similar result also holds for fill-ins with a negative scalar curvature lower bound.

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