Stable manifolds of holomorphic diffeomorphisms
复变函数
2009-11-07 v2 动力系统
摘要
We consider stable manifolds of a holomorphic diffeomorphism of a complex manifold. Using a conjugation of the dynamics to a (non-stationary) polynomial normal form, we show that typical stable manifolds are biholomorphic to complex Euclidean space.
引用
@article{arxiv.math/0101240,
title = {Stable manifolds of holomorphic diffeomorphisms},
author = {Mattias Jonsson and Dror Varolin},
journal= {arXiv preprint arXiv:math/0101240},
year = {2009}
}
备注
17 pages. Revised version. To appear in Inv. Math