Abstrak

Kembali

Let S : (V1, F1) → (V2, F2) be a foliated continuous map between smooth manifolds with codimension 1 smooth foliations, transversely oriented. If the transverse component of S has bounded variation with derivative in the Lebesgue class of measure, then the image by S∗ : H3(V2, F2) → H3(V1, F1) of the Godbillon–Vey class of V2 is the Godbillon–Vey class of V1. This solves partially a question raised by Etienne Ghys.