Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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D. Corro

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

created by corro on 19 Mar 2024



Inserted: 19 mar 2024
Last Updated: 19 mar 2024

Year: 2019

ArXiv: 1903.07191 PDF


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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