Cohomological tautness for Riemannian foliations

Abstract

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.

References in corpus (1)

• Tautness for riemannian foliations on non-compact manifolds

Cited by in corpus (8)

• Poincaré Duality of the basic intersection cohomology of a Killing foliation
• Equivariant formality of transversely symplectic foliations and Frobenius manifolds
• Extrinsic geometric flows on foliated manifolds, III
• A note on transverse divergence and taut Riemannian foliations
• Cohomological Tautness of Singular Riemannian Foliations
• Haefliger cohomology of complete Riemannian foliations
• Tenseness of Riemannian flows
• Non-unimodular transversely homogeneous foliations