Rank rigidity for foliations by manifolds of nonpositive curvature

S. Adams

Research output: Contribution to journalArticlepeer-review

Abstract

We develop a rank rigidity theorem for finite volume foliations by manifolds of nonpositive sectional curvature. It implies that if the leaves are irreducible Hadamard manifolds of geometric rank ≥ 2, then the leaves are symmetric.

Original languageEnglish (US)
Pages (from-to)47-70
Number of pages24
JournalDifferential Geometry and its Applications
Volume3
Issue number1
DOIs
StatePublished - Mar 1993
Externally publishedYes

Bibliographical note

Funding Information:
by NSF Postdoctoral

Keywords

  • Rank rigidity
  • foliations
  • nonpositive curvature

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