Abstract

Let F be a Riemannian flow on a closed manifold M. The Gysin sequence relating the basic cohomology of F and the de Rham cohomology of M has been constructed for isometric flows in [6]. In this paper, we extend it to the case of Riemannian flows. We also give a geometric characterization of the vanishing of the Euler class similar to the one given in [9].

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