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

Corro, Diego 2023. A-foliations of codimension two on compact simply-connected manifolds. Mathematische Zeitschrift 304 (4) , 63. 10.1007/s00209-023-03317-3

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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.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Publisher:	Springer
ISSN:	0025-5874
Date of First Compliant Deposit:	6 September 2023
Date of Acceptance:	10 June 2023
Last Modified:	08 Sep 2023 06:21
URI:	https://orca.cardiff.ac.uk/id/eprint/162210

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