This article is cited in 10 papers

On holomorphic foliations transverse to spheres

T. Ito^a, B. Scárdua<sup>b

a</sup> Ryukoku University
^b Instituto de Matemática, Universidade Federal do Rio de Janeiro

Abstract: We study the problem of existence and classification of holomorphic foliations transverse to a real submanifold in the complex affine space. In particular we investigate the existence of a codimension one holomorphic foliation transverse to a sphere in $\mathbb C^n$ for $n\ge 3$.

Key words and phrases: Holomorphic foliation, transverse section, foliation with singularities.

MSC: Primary 32S65; Secondary 57R30

Received: January 30, 2004

Language: English

DOI: 10.17323/1609-4514-2005-5-2-379-397

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