Fatou and Julia Components of Transversely Holomorphic Foliations
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چکیده
In this paper we study foliations F on compact manifolds M , of real codimension 2, with a transversal holomorphic structure. We construct a decomposition of M into dynamically defined components, similar to the Fatou/Julia sets for iteration of rational functions, or the region of discontinuity/limit set partition for Kleinian groups in PSL(2,C). All this in tune with Sullivan’s well known dictionary between the different guises of conformal dynamics [14].
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تاریخ انتشار 2001