Hokkaido Mathematical Journal

Reeb components of leafwise complex foliations and their symmetries II

Tomohiro Horiuchi

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Abstract

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

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

Dates
First available in Project Euclid: 18 June 2018

Permanent link to this document
https://projecteuclid.org/euclid.hokmj/1529308821

Digital Object Identifier
doi:10.14492/hokmj/1529308821

Mathematical Reviews number (MathSciNet)
MR3815295

Zentralblatt MATH identifier
06901708

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

Keywords
Reeb component Hopf surface diffeomorphisms

Citation

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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