Mean curvature in the light of scalar curvature

Misha Gromov

Research output: Contribution to journalArticlepeer-review


We formulate several conjectures on mean convex domains in the Euclidean spaces, as well as in more general spaces with lower bounds on their scalar curvatures, and prove a few theorems motivating these conjectures.

Original languageEnglish (US)
Pages (from-to)3169-3194
Number of pages26
JournalAnnales de l'Institut Fourier
Issue number7
StatePublished - 2019


  • Mean curvature
  • Scalar curvature

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Geometry and Topology


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