Singular Riemannian Foliations on Nonpositively Curved Manifolds

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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.
10 pages

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Differential Geometry, 53C12; 57R30

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http://salesiana.dossiersoluciones.com/handle/123456789/76317

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0509258
 http://arxiv.org/abs/math/0509258

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arXiv