Singular Riemannian Foliations on Nonpositively Curved Manifolds
classification
🧮 math.DG
keywords
manifoldsriemanniansingularadmittingfoliationsproperactionaddition
read the original abstract
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.
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