Vector Fields for Contact Pairs
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Let M be a (2k + 2l + 2)-dimensional smooth manifold. For such M, Bande and Hadjar introduce a new geometric structure called contact pair which roughly is a couple of 1-forms of constant classes with complementary kernels and foliations. We show the relationship between a pair of vector fields for a contact pair and a quadruple of functions on M. This is a generalization of the classical result for contact manifolds.
Key wordsContact geometry Reeb vector field contact pair
2010 MR Subject Classification53D10 57R17
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