Nonexistence of NNSC fill-ins with large mean curvature

Published 10 Sep 2020 in math.DG and math.GT | (2009.04976v1)

Abstract: 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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Authors (1)

Pengzi Miao

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