Singular Riemannian foliations on nonpositively curved manifolds
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- Töben, D. Math. Z. (2007) 255: 427. doi:10.1007/s00209-006-0044-9
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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.