Infinitesimal derivative of the Bott class and the Schwarzian derivatives
Asuke, Taro
Tohoku Math. J. (2), Tome 61 (2009) no. 1, p. 393-416 / Harvested from Project Euclid
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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.
Publié le : 2009-05-15
Classification:  Infinitesimal deformations,  Bott class,  Schwarzian derivatives,  58H10,  32S65,  53B10 
@article{1255700201,
     author = {Asuke, Taro},
     title = {Infinitesimal derivative of the Bott class and the Schwarzian derivatives},
     journal = {Tohoku Math. J. (2)},
     volume = {61},
     number = {1},
     year = {2009},
     pages = { 393-416},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1255700201}
}

Asuke, Taro. Infinitesimal derivative of the Bott class and the Schwarzian derivatives. Tohoku Math. J. (2), Tome 61 (2009) no. 1, pp.  393-416. http://gdmltest.u-ga.fr/item/1255700201/