Abstract
We show that smooth maps are C1-dense among C1 volume-preserving maps.
Citation
Artur Avila. "On the regularization of conservative maps." Acta Math. 205 (1) 5 - 18, 2010. https://doi.org/10.1007/s11511-010-0050-y
Information
Received: 13 October 2008; Published: 2010
First available in Project Euclid: 31 January 2017
zbMATH: 1211.37029
MathSciNet: MR2736152
Digital Object Identifier: 10.1007/s11511-010-0050-y
Subjects:
Primary:
37D20
Secondary:
37C20C
,
37D25
,
37D30
,
37J10
Keywords:
generic properties
,
Lyapunov exponents
,
partial hyperbolicity
,
symplectic diffeomorphisms
Rights: 2010 © Institut Mittag-Leffler