论文标题
半超模具映射的绝对连续性
Absolute continuity for semi-extremal holomorphic mappings
论文作者
论文摘要
我们研究$ $ $ $ = t $ \ land $ t的cp(2)d $ \ ge $ 2的cp(2),其中t是f的绿色电流。 Dujardin证明,如果$μ$相对于T绝对连续,那么F的Lyapunov指数最少[12]。我们在局部统一假设下显示了动态系统不稳定的流形的反向含义。
We study the equilibrium measure $μ$ = T $\land$ T of endomorphisms f of CP(2) of degree d $\ge$ 2, where T is the Green current of f. Dujardin proved that if $μ$ is absolutely continuous with respect to T then f has a minimal Lyapunov exponent [12]. We show the reverse implication under a local uniform assumption on unstable manifolds of the dynamical system.