叶向光滑叠片
Leafwise smoothing laminations
摘要：
我们证明了3-流形M的每一个拓扑曲面层都与具有光滑浸入叶的拓扑曲面层是同位素的。这是Gabai在[叶理和层压问题，AMS/IP Stud.Adv.Math.2.2 1- 33]中提出的一个项目。因此，任何这样的叠层承认黎曼表面叠层的结构，因此Candel [Uniformization of surface laminations，Ann. Sci.诺姆学校辅助核算26（1993）489- 516]和Ghys [Dynamique et geometrie complex，Panoramas et Syntheses 8（1999）]。
英文摘要：
We show that every topological surface lamination of a 3-manifold M is isotopic to one with smoothly immersed leaves. This carries out a project proposed by Gabai in [Problems in foliations and laminations, AMS/IP Stud. Adv. Math. 2.2 1--33]. Consequently any such lamination admits the structure of a Riemann surface lamination, and therefore useful structure theorems of Candel [Uniformization of surface laminations, Ann. Sci. Ecole Norm. Sup. 26 (1993) 489--516] and Ghys [Dynamique et geometrie complexes, Panoramas et Syntheses 8 (1999)] apply.
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