Nonexistence of nnsc fill-ins with large mean curvature

Research output: Contribution to journalArticlepeer-review


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 pointwise large. Similar result also holds for fill-ins with a negative scalar curvature lower bound.

Original languageEnglish (US)
Pages (from-to)2705-2709
Number of pages5
JournalProceedings of the American Mathematical Society
Issue number6
StatePublished - Jun 2021
Externally publishedYes


  • Mean curvature
  • Scalar curvature

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics


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