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.
Yue HE
,
Hai-Long HER
. VECTOR FIELDS FOR CONTACT PAIRS[J]. Acta mathematica scientia, Series B, 2019
, 39(4)
: 1081
-1088
.
DOI: 10.1007/s10473-019-0412-2
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