群聚条件下全纯动力学的全局稳定流形
Global stable manifolds in holomorphic dynamics under bunching conditions
摘要：
证明了复流形的全纯自同构的紧致双曲不变集中的每一点的稳定流形都是复向量空间的双全纯流形，条件是一个比经典的线性化聚束条件弱的聚束条件成立.
英文摘要：
We prove that the stable manifold of every point in a compact hyperbolic invariant set of a holomorphic automorphism of a complex manifold is biholomorphic to a complex vector space, provided that a bunching condition, which is weaker than the classical bunching condition for linearizability, holds.
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