Reeb components of leafwise complex foliations and their symmetries III

2015/11/29 by Tomohiro Horiuchi, Horiuchi, Tomohiro, Yoshihiko Mitsumatsu +1 · 1 citation
Mathematics · #58D19 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT) #Primary 57R30 #Secondary 58D05 #math.DG #math.GT #msc:57R30 #msc:58D05 #msc:58D19

paper · pdf · doi:10.48550/arxiv.1511.08985

This paper has been withdrawn because together with arXiv:1508.07162, the contents are improved and unified into a new one arXiv:1605.08977

arxiv created 2016/05/31 · arxiv updated 2016/06/01

Abstract

The automorphisms group of the 3-dimensional Reeb component with complex leaves is computed in the case where the component is obtained by the Hopf construction and the holonomy of the boundary leaf is not tangent to the identity to the infinite order. Combined with a previous work, for 3-dimensional Reeb components obtained by the Hopf construction, we have an almost complete description of the groups of leafwise holomorphic smooth automorphisms.

Citations

• Reeb components of leafwise complex foliations and their symmetries I
• Reeb components with complex leaves and their symmetries I : The automorphism groups and Schröder's equation on the half line

Cited by

• Reeb components with complex leaves and their symmetries I : The automorphism groups and Schröder's equation on the half line
• Reeb components of leafwise complex foliations and their symmetries I

Related

• Reeb components of leafwise complex foliations and their symmetries II
• Reeb components of leafwise complex foliations and their symmetries I
• Reeb components with complex leaves and their symmetries I : The automorphism groups and Schröder's equation on the half line
• Degree of the Exceptional Component of the Space of Holomorphic Foliations of Degree Two and Codimension One in P3
• On the automorphism group of foliations with geometric transverse structure