Denjoy-Sacksteder theory for groups of diffeomorphisms

作者：Bis Andrzej^*; Hector Gilbert

来源：Journal of the Mathematical Society of Japan, 2011, 63(3): 985-1000.

DOI：10.2969/jmsj/06330985

• exceptional minimal sets
• wandering sequences
• quasi-conformal groups
• Sierpinski set

We extend the one dimensional Denjoy-Sacksteder theorems to some diffeomorphisrn groups of smooth compact closed n-dimensional manifolds. More precisely, we show the existence of a non trivial stabilizer for actions of "quasi-conformal groups" admitting an "exceptional" minimal set which is of "strongly decreasing type"; our results include the classical Denjoy-Sacksteder theorems.

• 出版日期2011-7