Mathematische Zeitschrift

, Volume 255, Issue 2, pp 427–436

Singular Riemannian foliations on nonpositively curved manifolds


DOI: 10.1007/s00209-006-0044-9

Cite this article as:
Töben, D. Math. Z. (2007) 255: 427. doi:10.1007/s00209-006-0044-9


We prove the nonexistence of a proper singular Riemannian foliation admitting section in compact manifolds of nonpositive curvature. Then we give a global description of proper singular Riemannian foliations admitting sections on Hadamard manifolds. In addition by using the theory of taut immersions we provide a short proof of this result in the special case of a polar action.


Singular Riemannian foliations Nonpositive curvature 

Mathematics Subject Classification (2000)

53C12 57R30 

Copyright information

© Springer-Verlag 2006

Authors and Affiliations

  1. 1.Mathematisches InstitutUniversität zu KölnKölnGermany

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