Abstract
For a local Lie group M we define cohomology classes [w_{2k+1}] \in H^{2k+1}_{dR} (M,ℝ) . We show that [w_1] is an obstruction to globalizability and give an example where [w_1] ≠ 0 . We also show that [w_3] coincides with Godbillon–Vey class in a particular case. These classes are secondary as they emerge when curvature vanishes.
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