Revistes Catalanes amb Accés Obert (RACO)

Pierrot's theorem for singular riemannian foliations

R. A. Wolak

Resum


Let $\Cal F$ be a singular Riemannian foliation on a compact connected Riemannian manifold $M$. We demonstrate that global foliated vector fields generate a distribution tangent to the strata defined by the closures of leaves of $\Cal F$ and which, in each stratum, is transverse to these closures of leaves.

Text complet: PDF