Open Access
July, 2011 Denjoy-Sacksteder theory for groups of diffeomorphisms
Andrzej BIŚ, Gilbert HECTOR
J. Math. Soc. Japan 63(3): 985-1000 (July, 2011). DOI: 10.2969/jmsj/06330985


We extend the one dimensional Denjoy-Sacksteder theorems to some diffeomorphism 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.


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Andrzej BIŚ. Gilbert HECTOR. "Denjoy-Sacksteder theory for groups of diffeomorphisms." J. Math. Soc. Japan 63 (3) 985 - 1000, July, 2011.


Published: July, 2011
First available in Project Euclid: 1 August 2011

zbMATH: 1246.37021
MathSciNet: MR2836752
Digital Object Identifier: 10.2969/jmsj/06330985

Primary: ‎37B05‎ , 37B45
Secondary: 30C65 , 37C85

Keywords: exceptional minimal sets , quasi-conformal groups , Sierpiński set , wandering sequences

Rights: Copyright © 2011 Mathematical Society of Japan

Vol.63 • No. 3 • July, 2011
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