Journal of the Mathematical Society of Japan

On quasiconformal deformations of transversely holomorphic foliations

Taro ASUKE

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Abstract

Existence of complex codimension-one transverse structure is studied using the complex dilatation. As an application, a version of quasiconformal surgeries of foliations is considered.

Article information

Source
J. Math. Soc. Japan, Volume 57, Number 3 (2005), 725-734.

Dates
First available in Project Euclid: 14 September 2006

Permanent link to this document
https://projecteuclid.org/euclid.jmsj/1158241932

Digital Object Identifier
doi:10.2969/jmsj/1158241932

Mathematical Reviews number (MathSciNet)
MR2139731

Zentralblatt MATH identifier
1160.37374

Subjects
Primary: 37F75: Holomorphic foliations and vector fields [See also 32M25, 32S65, 34Mxx]
Secondary: 32S65: Singularities of holomorphic vector fields and foliations 30C62: Quasiconformal mappings in the plane 57R32: Classifying spaces for foliations; Gelfand-Fuks cohomology [See also 58H10]

Keywords
foliations holomorphic structures quasiconformal mappings

Citation

ASUKE, Taro. On quasiconformal deformations of transversely holomorphic foliations. J. Math. Soc. Japan 57 (2005), no. 3, 725--734. doi:10.2969/jmsj/1158241932. https://projecteuclid.org/euclid.jmsj/1158241932


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References

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