Nonexistence of NNSC fill-ins with large mean curvature
Nonexistence of NNSC fill-ins with large mean curvature
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DOI：
10.1090/proc/15400
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发表时间：
2020-09
期刊：
影响因子：
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通讯作者：
P. Miao
中科院分区：
文献类型：
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作者：
P. Miao
本文证明了：如果平均曲率逐点大，则闭黎曼流形不允许有非负数量曲率的填充。类似的结果也适用于具有负标量曲率下限的填充。
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.