NOTES ON ‘INFINITESIMAL DERIVATIVE OF THE BOTT CLASS AND THE SCHWARZIAN DERIVATIVES’

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.