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We prove that a holomorphic foliation Ϝ on a Stein surface transverse to the boundary of a 4-ball is conjugated inside the ball to the foliation generated by the holomorphic vector field $$z\frac{\partial }{{\partial z}} + (z + w)\frac{\partial }{{\partial w}}$$ , provided that the transversely holomorphic flow induced by Ϝ on the boundary of the ball has a parabolic closed orbit. The proof contains a classification of transversely holomorphic flows on 3-manifolds with a parabolic closed orbit.
Bulletin of the Brazilian Mathematical Society, New Series – Springer Journals
Published: Feb 12, 2005
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