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Singular Riemannian Foliations on Nonpositively Curved Manifolds

Research paper by Dirk Toeben

Indexed on: 12 Sep '05Published on: 12 Sep '05Published in: Mathematics - Differential Geometry



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.