Holomorphic Approximation for Real Diffeomorphism Groups

Fusheng Deng, Gaofeng Huang, Frank Kutzschebauch +1

We show that every diffeomorphism of ${\mathbb{R}}^n$ for $n\ge 2$ can be approximated by an automorphism of ${\mathbb{C}}^n$ in the Whitney $C^k$-topology for any positive integer $k…