科研之友
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摘要
A central problem in the theory of quasiconformal and bi-Lipschitz mappings is whether they can be written as a composition of such mappings with small distortion. In this paper, we prove a decomposition result for C-1 diffeomorphisms of the sphere; namely, we show that, given epsilon %26gt; 0, every C-1 diffeomorphism of the sphere S-n can be written as a composition of bi-Lipschitz mappings with isometric distortion at most 1 + epsilon.
- 出版日期2012-6
