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تسجيل مستخدم جديدA Compactness Theorem for Embedded Measured Riemann Surface Laminations
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We prove a compactness theorem for embedded measured hyperbolic Riemann surface laminations in a compact almost complex manifold $(X, J)$. To prove compactness result, we show that there is a suitable topology on the space of measured Riemann surface laminations induced by Levy-Prokhorov metric. As an application of the compactness theorem, we show that given a biholomorphism of $phi $ of a closed complex manifold $X$, some power $phi^k $ ($k>0$) fixes a measured Riemann surface lamination in $X$.
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