English

Reeb components of leafwise complex foliations and their symmetries III

Geometric Topology 2016-06-01 v2 Differential Geometry

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.

Keywords

Cite

@article{arxiv.1511.08985,
  title  = {Reeb components of leafwise complex foliations and their symmetries III},
  author = {Tomohiro Horiuchi and Yoshihiko Mitsumatsu},
  journal= {arXiv preprint arXiv:1511.08985},
  year   = {2016}
}

Comments

This paper has been withdrawn because together with arXiv:1508.07162, the contents are improved and unified into a new one arXiv:1605.08977