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hal-00371679, version 1

Cohomological tautness for Riemannian foliations

J. I. Royo Prieto, M. Saralegi-Aranguren 1, R. Wolak

Russian Journal of Mathematical Physics 16, 3 (2009) 450-466

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.

  • 1:  Laboratoire de Mathématiques de Lens (LML)
  • Université d'Artois : EA2462
  • Domain : Mathematics/Differential Geometry
  • Keywords : Feuilletages
  • Comment : Accepté pour publication sur Russ. J. Math. Phys.
 
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  • Submitted on: Monday, 30 March 2009 11:26:19
  • Updated on: Thursday, 10 September 2009 15:35:24