TY - JOUR
T1 - Local structure of generalized contact manifolds
AU - Wade, Aïssa
N1 - Funding Information:
This work was partially supported by the grant 200020-126817 of the Swiss National Science Foundation .
PY - 2012/2
Y1 - 2012/2
N2 - Generalized contact pairs were introduced in Poon and Wade (2011) [25]. In this paper, we carry out a detailed study of geometric properties of these structures. First, we give geometric conditions expressing the integrability of a generalized contact pair. Then, we use them to obtain insights into the characteristic foliation of a generalized contact manifold. Finally we show that, locally, any smooth manifold endowed with a generalized contact pair is equivalent to the product of an almost cosymplectic manifold whose associated 2-form is closed by a generalized complex manifold.
AB - Generalized contact pairs were introduced in Poon and Wade (2011) [25]. In this paper, we carry out a detailed study of geometric properties of these structures. First, we give geometric conditions expressing the integrability of a generalized contact pair. Then, we use them to obtain insights into the characteristic foliation of a generalized contact manifold. Finally we show that, locally, any smooth manifold endowed with a generalized contact pair is equivalent to the product of an almost cosymplectic manifold whose associated 2-form is closed by a generalized complex manifold.
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U2 - 10.1016/j.difgeo.2011.11.009
DO - 10.1016/j.difgeo.2011.11.009
M3 - Article
AN - SCOPUS:84155188793
SN - 0926-2245
VL - 30
SP - 124
EP - 135
JO - Differential Geometry and its Application
JF - Differential Geometry and its Application
IS - 1
ER -