Singular Riemannian Foliations on Nonpositively Curved Manifolds

Details Singular Riemannian Foliations on Nonpositively Curved Manifolds Singular Riemannian Foliations on Nonpositively Curved Manifolds

2005-09-12

arxiv.org/abs/math/0509258v1

Mathematics

Differential Geometry

10 pages

Scientific paper

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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