Pierrot's theorem for singular riemannian foliations

• Autores: Robert A. Wolak
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 38, Nº 2, 1994, págs. 433-439
• Idioma: inglés
• Títulos paralelos:
  • Teorema de Pierrot para foliaciones riemannianas singulares
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• Resumen

  • 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.