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arXiv · 1903.07191

A-Foliations of codimension two on compact simply-connected manifolds

Diego Corro
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Abstract

We show that a singular Riemannian foliation of codimension two on a compact simply-connected Riemannian $(n+2)$-manifold, with regular leaves homeomorphic to the $n$-torus, is given by a smooth effective $n$-torus action. This solves in the negative for the codimension $2$ case a question about the existence of foliations by exotic tori on simply-connected manifolds.

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Diego Corro. 2019-03-17. A-Foliations of codimension two on compact simply-connected manifolds. https://doi.org/10.1007/s00209-023-03317-3

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