SMF

Densities for certain leaves of real analytic foliations

Densities for certain leaves of real analytic foliations

C. ROCHE
  • Année : 1994
  • Tome : 222
  • Format : Papier, Électronique
  • Langue de l'ouvrage :
    Anglais
  • Class. Math. : 57R30
  • Pages : 373-388
  • DOI : 10.24033/ast.266

Khovanskii's theory applies for non spiralating leaves of real analytic foliations as was shown in a joint work with R. Moussu. This theory proves that these leaves behave much like subanalytic subsets at least for the finiteness properties. Here it is shown that Kurdyka-Raby's technique can be applied to prove the existence of densities in each boundary point of a non spiralating leaf. This result doesn't use regularity assumptions on the boundary set of a very few results are known on these sets.

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