Nonexistence of NNSC fill-ins with large mean curvature

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.

5 pages

References in corpus (1)

• Isometric embeddings into the Minkowski space and new quasi-local mass

Cited by in corpus (1)

• Nonexistence of NNSC-cobordism of Bartnik data