TY - JOUR
T1 - Rank rigidity for foliations by manifolds of nonpositive curvature
AU - Adams, S.
PY - 1993/3
Y1 - 1993/3
N2 - 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.
AB - 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.
KW - Rank rigidity
KW - foliations
KW - nonpositive curvature
UR - http://www.scopus.com/inward/record.url?scp=43949175856&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=43949175856&partnerID=8YFLogxK
U2 - 10.1016/0926-2245(93)90022-S
DO - 10.1016/0926-2245(93)90022-S
M3 - Article
AN - SCOPUS:43949175856
VL - 3
SP - 47
EP - 70
JO - Differential Geometry and its Applications
JF - Differential Geometry and its Applications
SN - 0926-2245
IS - 1
ER -