A compactly generated pseudogroup which is not realizable

作者:Meigniez Gael*
来源:Journal of the Mathematical Society of Japan, 2010, 62(4): 1205-1218.
DOI:10.2969/jmsj/06241205

摘要

We exhibit a pseudogroup of smooth local transformations of the real line, which is compactly generated, but not realizable as the holonomy pseudogroup of a foliation of codimension 1 on a compact manifold. The proof relies on a description of all foliations with the same dynamic as the Reeb component.

  • 出版日期2010-10