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In this paper we investigate the spectral sequence associated to a Riemannianfoliation which arises naturally on a Vaisman manifold. Using the Betti numbersof the underlying manifold we establish a lower bound for the dimension of someterms of this cohomological object. This way we obtain cohomologicalobstructions for two-dimensional foliations to be induced from a Vaismanstructure. We show that if the foliation is quasi-regular the lower bound isrealized. In the final part of the paper we discuss two examples.

The spectral sequence of the canonical foliation on Vaisman manifolds