Reeb components of leafwise complex foliations and their symmetries II

2015/11/11 by Tomohiro Horiuchi, Horiuchi, Tomohiro
Mathematics · #57R30 #58D05 (Secondary) #58D19 (Primary) #FOS: Mathematics #Geometric Topology (math.GT) #math.GT #msc:57R30 #msc:58D05 #msc:58D19

paper · pdf · doi:10.48550/arxiv.1511.03424

20 pages

arxiv created 2015/11/11 · arxiv updated 2015/11/12

Abstract

We study the group of leafwise holomorphic smooth automorphisms of Reeb components of leafwise complex foliation which are obtained by a certain Hopf construction. In particular, in the case where the boundary holonomy is infinitely tangent to the identity, we determine the structure of the group of leafwise holomorphic automorphisms.

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