## Tohoku Mathematical Journal

### Infinitesimal derivative of the Bott class and the Schwarzian derivatives

Taro Asuke

#### Abstract

An infinitesimal derivative of the Bott class is defined by generalizing Heitsch'es construction. We prove a formula relating the infinitesimal derivative to the Schwarzian derivatives, which gives a generalization of the Maszczyk formula for the Godbillon-Vey class of real codimension-one foliations. As an application, a residue of infinitesimal derivatives with respect to the Julia set in the sense of Ghys, Gomez-Mont and Saludes is introduced.

#### Article information

Source
Tohoku Math. J. (2), Volume 61, Number 3 (2009), 393-416.

Dates
First available in Project Euclid: 16 October 2009

https://projecteuclid.org/euclid.tmj/1255700201

Digital Object Identifier
doi:10.2748/tmj/1255700201

Mathematical Reviews number (MathSciNet)
MR2568261

Zentralblatt MATH identifier
1198.32014

#### Citation

Asuke, Taro. Infinitesimal derivative of the Bott class and the Schwarzian derivatives. Tohoku Math. J. (2) 61 (2009), no. 3, 393--416. doi:10.2748/tmj/1255700201. https://projecteuclid.org/euclid.tmj/1255700201

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