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arXiv · 1003.1903

Maximal Tori in Contactomorphism Groups

Charles P. Boyer
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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.

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Charles P. Boyer. 2012-12-13. Maximal Tori in Contactomorphism Groups. https://arxiv.org/abs/1003.1903

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