We assume that the Killing foliation F is induced by an orientable action ? : G × M ? M with G connected. We fix a tamer K. We prove P(M) by induction on depth ,
On the first secondary invariant of Molino's central sheaf, Ann. Polon. Math, vol.64, pp.253-265, 1996. ,
An introduction to differentiable manifolds and Riemannian geometry, of Pure and Applied Mathematics, 1986. ,
Differential forms in algebraic topology, Graduate Texts in Mathematics, vol.82, 1982. ,
DOI : 10.1007/978-1-4757-3951-0
Introduction to compact transformation groups, Pure and Applied Mathematics, vol.46, 1972. ,
Topology and geometry, volume 139 of Graduate Texts in Mathematics, 1997. ,
Equivariant intersection cohomology, Kazhdan-Lusztig theory and related topics, pp.5-32, 1989. ,
DOI : 10.1090/conm/139/1197827
Flots riemanniens. Astérisque, Transversal structure of foliations, issue.116, pp.31-52, 1982. ,
D??composition de Hodge basique pour un feuilletage riemannien, Annales de l???institut Fourier, vol.36, issue.3, pp.207-227, 1986. ,
DOI : 10.5802/aif.1066
Intersection homology theory, Topology, vol.19, issue.2, pp.135-162, 1980. ,
DOI : 10.1016/0040-9383(80)90003-8
URL : http://doi.org/10.1016/0040-9383(80)90003-8
Intersection homology II, Inventiones Mathematicae, vol.12, issue.1, pp.77-129, 1983. ,
DOI : 10.1007/BF01389130
URL : http://www.digizeitschriften.de/download/PPN356556735_0072/PPN356556735_0072___log10.pdf
Duality theorems for foliations. Astérisque, Transversal structure of foliations, vol.116, pp.108-116, 1982. ,
Transformation groups in differential geometry, Classics in Mathematics, 1995. ,
DOI : 10.1007/978-3-642-61981-6
Duality and minimality in Reimannian foliations, Commentarii Mathematici Helvetici, vol.67, issue.1, pp.17-27, 1992. ,
DOI : 10.1007/BF02566486
Minimal singular Riemannian foliations, Comptes Rendus Mathematique, vol.342, issue.1, pp.33-36, 2006. ,
DOI : 10.1016/j.crma.2005.10.031
Desingularisation Des Feuilletages Riemanniens, American Journal of Mathematics, vol.106, issue.5, pp.1091-1106, 1984. ,
DOI : 10.2307/2374274
Feuilletages riemanniens réguliers et singuliers, Géométrie différentielle, pp.173-201, 1986. ,
Riemannian foliations Translated from the French by Grant Cairns, Progress in Mathematics. Birkhäuser Boston, Inc, vol.73, 1988. ,
Orbit-like foliations, Geometric study of foliations, pp.97-119, 1993. ,
Deux remarques sur les flots riemanniens, Manuscripta Mathematica, vol.36, issue.4, pp.145-161, 1985. ,
DOI : 10.1007/BF01168350
Momentum maps and Hamiltonian reduction, Progress in Mathematics, vol.222, 2004. ,
DOI : 10.1007/978-1-4757-3811-7
Dense Lie Group Homomorphisms, Journal of Algebra, vol.169, issue.2, pp.625-647, 1994. ,
DOI : 10.1006/jabr.1994.1300
Foliated Manifolds with Bundle-Like Metrics, The Annals of Mathematics, vol.69, issue.1, pp.119-132, 1959. ,
DOI : 10.2307/1970097
Estudio cohomológico de Flujos Riemannianos, 2003. ,
Top-Dimensional Group of the Basic Intersection Cohomology for Singular Riemannian Foliations, Bulletin of the Polish Academy of Sciences Mathematics, vol.53, issue.4, pp.429-440, 2005. ,
DOI : 10.4064/ba53-4-8
URL : https://hal.archives-ouvertes.fr/hal-00371682
Tautness for riemannian foliations on non-compact manifolds, manuscripta mathematica, vol.75, issue.2, pp.177-200, 2008. ,
DOI : 10.1007/s00229-008-0172-0
URL : https://hal.archives-ouvertes.fr/hal-00371685
Cohomological tautness for Riemannian foliations. Russ, J. Math. Phys, vol.16, issue.3, pp.450-466, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-00371679
Homological properties of stratified spaces, Illinois J. Math, vol.38, issue.1, pp.47-70, 1994. ,
URL : https://hal.archives-ouvertes.fr/hal-00439195
Basic intersection cohomology of conical fibrations, Mathematical Notes, vol.9, issue.3, pp.235-257, 2005. ,
DOI : 10.1007/s11006-005-0022-2
The BIC of a singular foliation defined by an abelian group of isometries, Annales Polonici Mathematici, vol.89, issue.3, pp.203-246, 2006. ,
DOI : 10.4064/ap89-3-1
URL : https://hal.archives-ouvertes.fr/hal-00111281
Finiteness of the basic intersection cohomology of a Killing foliation, Mathematische Zeitschrift, vol.89, issue.1-2, pp.443-457, 2012. ,
DOI : 10.1007/s00209-011-0942-3
Cohomologie basique et dualit?? des feuilletages riemanniens, Annales de l???institut Fourier, vol.35, issue.3, pp.137-158, 1985. ,
DOI : 10.5802/aif.1022
Geometry of foliations, Monographs in Mathematics. Birkhäuser Verlag, vol.90, 1997. ,
DOI : 10.1007/978-3-0348-8914-8