Abstract
We study transverse projective structures of foliations and construct an invariant, which is a homomorphism from a foliated cohomology to the ordinary one. It is shown that the infinitesimal derivatives of the Godbillon–Vey class and the Bott class are determined by the invariant. As a corollary, a rigidity theorem for the Godbillon–Vey class and the Bott class is shown.
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