Maximal Tori in Contactomorphism Groups
Symplectic Geometry
2013-10-16 v3 Differential Geometry
Abstract
I describe a general scheme which associates conjugacy classes of tori in the contactomorphism group to transverse almost complex structures on a compact contact manifold. Moreover, to tori of Reeb type whose Lie algebra contains a Reeb vector field one can associate a Sasaki cone. Thus, for contact structures of K-contact type one obtains a configuration of Sasaki cones called a bouquet such that each Sasaki cone is associated with a conjugacy class of tori of Reeb type.
Keywords
Cite
@article{arxiv.1003.1903,
title = {Maximal Tori in Contactomorphism Groups},
author = {Charles P. Boyer},
journal= {arXiv preprint arXiv:1003.1903},
year = {2013}
}
Comments
39 pages, minor corrections and extensions made, to appear in Differential Geometry and Applications