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.
Citation
Taro Asuke. "Infinitesimal derivative of the Bott class and the Schwarzian derivatives." Tohoku Math. J. (2) 61 (3) 393 - 416, 2009. https://doi.org/10.2748/tmj/1255700201
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