Positive Intermediate Ricci Curvature with Maximal Symmetry Rank

Lee Kennard, Lawrence Mouillé

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


Generalizing the foundational work of Grove and Searle, the second author proved upper bounds on the ranks of isometry groups of closed Riemannian manifolds with positive intermediate Ricci curvature and established some topological rigidity results in the case of maximal symmetry rank and positive second intermediate Ricci curvature. Here, we recover even stronger topological rigidity, including results for higher intermediate Ricci curvatures and for manifolds with non-trivial fundamental groups.

Original languageEnglish (US)
Article number129
JournalJournal of Geometric Analysis
Issue number5
StatePublished - May 2024


  • 53C20 (Primary)
  • 57S15 (Secondary)
  • Intermediate Ricci curvature
  • Positive curvature
  • Ricci curvature
  • Sectional curvature
  • Symmetry rank
  • Torus action

ASJC Scopus subject areas

  • Geometry and Topology


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