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Understand a moduli of Sasakian manifolds that allows the variation of the associated CR-structures. The natural object of study is a set that gives a configuration of different CR-structures compatible with a contact structure. We think that the notion of the bouquet of Sasaki cones given in Boyer [B] encodes important information that can be useful to understand the connectedness of a moduli of Sasakian structures on a manifold. Please see ANEXO for more details.
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