Tohoku Mathematical Journal, Second Series
Online ISSN : 2186-585X
Print ISSN : 0040-8735
ISSN-L : 0040-8735
NOTES ON ‘INFINITESIMAL DERIVATIVE OF THE BOTT CLASS AND THE SCHWARZIAN DERIVATIVES’
Taro Asuke
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2017 Volume 69 Issue 1 Pages 129-139

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Abstract

The derivatives of the Bott class and those of the Godbillon–Vey class with respect to infinitesimal deformations of foliations, called infinitesimal derivatives, are known to be represented by a formula in the projective Schwarzian derivatives of holonomies [3], [1]. It is recently shown that these infinitesimal derivatives are represented by means of coefficients of transverse Thomas–Whitehead projective connections [2]. We will show that the formula can be also deduced from the latter representation.

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