Hokkaido Mathematical Journal

Reeb components of leafwise complex foliations and their symmetries II

Tomohiro Horiuchi

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We study the group of leafwise holomorphic smooth automorphisms of 5-dimensional Reeb components with leafwise complex structure which are obtained by a certain Hopf construction. In particular, in the case where the boundary holonomy is infinitely tangent to the identity, we completely determine the structure of the group of leafwise holomorphic automorphisms of such foliations.

Article information

Hokkaido Math. J., Volume 47, Number 2 (2018), 317-337.

First available in Project Euclid: 18 June 2018

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Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 57R30: Foliations; geometric theory 58D19: Group actions and symmetry properties
Secondary: 58D05: Groups of diffeomorphisms and homeomorphisms as manifolds [See also 22E65, 57S05]

Reeb component Hopf surface diffeomorphisms


Horiuchi, Tomohiro. Reeb components of leafwise complex foliations and their symmetries II. Hokkaido Math. J. 47 (2018), no. 2, 317--337. doi:10.14492/hokmj/1529308821. https://projecteuclid.org/euclid.hokmj/1529308821

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