On the regularization of conservative maps

Abstract

We show that smooth maps are $C^1$-dense among $C^1$ volume preserving maps.

11 pages

References in corpus (2)

• Genericity of zero Lyapunov exponents
• A remark on conservative diffeomorphisms

Cited by in corpus (4)

• New criteria for ergodicity and non-uniform hyperbolicity
• Creation of blenders in the conservative setting
• A lower bound for topological entropy of generic non Anosov symplectic diffeomorphisms
• Some advances on generic properties of the Oseledets splitting