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 language | English (US) |
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Pages (from-to) | 47-70 |
Number of pages | 24 |
Journal | Differential Geometry and its Applications |
Volume | 3 |
Issue number | 1 |
DOIs | |
State | Published - Mar 1993 |
Externally published | Yes |
Bibliographical note
Funding Information:by NSF Postdoctoral
Keywords
- Rank rigidity
- foliations
- nonpositive curvature