HEDGEHOGS IN HIGHER DIMENSIONS AND THEIR APPLICATIONS

摘要

In this paper we study the dynamics of germs of holomorphic diffeomorphisms of (C-n, 0) with a fixed point at the origin with exactly one neutral eigenvalue. We prove that the map on any local center manifold of 0 is quasiconformally conjugate to a holomorphic map and use this to transport results from one complex dimension to higher dimensions.