Cohomological tautness for Riemannian foliations
  In this paper we present some new results on the tautness of Riemannian foliations in their historical context. The first part of the paper gives a short history of the problem. For a closed manifold, the tautness of a Riemannian foliation can be characterized cohomologically. We extend this cohomological characterization to a class of foliations which includes the foliated strata of any singular Riemannian foliation of a closed manifold. 
J.I. Royo Prieto, M. Saralegi-Aranguren, R. Wolak