论文标题
统一的非自主盆地吸引力
Uniform non-autonomous basins of attraction
论文作者
论文摘要
已经猜想是，由全态自动态引起的每一个稳定的歧管，在紧凑的不变套件上起作用，都是生物形态到复杂的欧几里得空间。众所周知，这种稳定的歧管是对统一吸引的全态图家族的盆地的生物形态。结果表明，一个统一吸引的全态图家族的盆地是复杂的欧几里得空间的生物形态，这可以肯定地解决了这种稳定歧管的生物形态类型的猜想。
It has been conjectured that every stable manifold arising from a holomorphic automorphism, that acts hyperbolically on a compact invariant set, is biholomorphic to complex Euclidean space. Such stable manifolds are known to be biholomorphic to the basin of a uniformly attracting family of holomorphic maps. It is shown that the basin of a uniformly attracting family of holomorphic maps is biholomorphic to complex Euclidean space and this resolves the conjecture on the biholomorphism type of such stable manifolds affirmatively.
