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Corrigendum to “A smooth foliation of the 5-sphere by complex surfaces”. (English) Zbl 1230.32002

Summary: In this note, we explain that the foliation by complex manifolds we constructed in [Ann. Math. (2) 156, No. 3, 915–930 (2002; Zbl 1029.32019)] does not live on the 5-sphere as claimed, but on a 5-manifold with non-trivial fundamental group.

MSC:

32V30 Embeddings of CR manifolds
57R30 Foliations in differential topology; geometric theory

Citations:

Zbl 1029.32019
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References:

[1] L. Meersseman and A. Verjovsky, ”A smooth foliation of the 5-sphere by complex surfaces,” Ann. of Math., vol. 156, iss. 3, pp. 915-930, 2002. · Zbl 1029.32019
[2] L. Meersseman and A. Verjovsky, Correction to “A smooth foliation of the 5-sphere by complex surfaces”, 2011. · Zbl 1230.32002
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