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I describe a general scheme which associates conjugacy classes of tori in thecontactomorphism group to transverse almost complex structures on a compactcontact manifold. Moreover, to tori of Reeb type whose Lie algebra contains aReeb vector field one can associate a Sasaki cone. Thus, for contact structuresof K-contact type one obtains a configuration of Sasaki cones called a bouquetsuch that each Sasaki cone is associated with a conjugacy class of tori of Reebtype.

Maximal Tori in Contactomorphism Groups