Nonexistence of NNSC fill-ins with large mean curvature

Miao, Pengzi

doi:10.1090/proc/15400

Nonexistence of NNSC fill-ins with large mean curvature
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Proc. Amer. Math. Soc. 149 (2021), 2705-2709 Request permission

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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