TY - JOUR
T1 - Compatible poisson structures on fibered 5-manifolds
AU - Flores-Espinoza, R.
AU - Ruíz-Pantaleón, J. C.
AU - Vorobiev, Yu
PY - 2020/3/1
Y1 - 2020/3/1
N2 - © 2018, Sociedad Matemática Mexicana. We study a class of Poisson tensors on a fibered manifold which are compatible with the fiber bundle structure by the so-called almost coupling condition. In the case of a 5-dimensional orientable fibered manifolds with 2-dimensional bases, we describe a global behavior of almost coupling Poisson tensors and their singularities by using a bigraded factorization of the Jacobi identity. In particular, we present some unimodularity criteria and describe a class of gauge type transformations preserving the almost coupling property.
AB - © 2018, Sociedad Matemática Mexicana. We study a class of Poisson tensors on a fibered manifold which are compatible with the fiber bundle structure by the so-called almost coupling condition. In the case of a 5-dimensional orientable fibered manifolds with 2-dimensional bases, we describe a global behavior of almost coupling Poisson tensors and their singularities by using a bigraded factorization of the Jacobi identity. In particular, we present some unimodularity criteria and describe a class of gauge type transformations preserving the almost coupling property.
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U2 - 10.1007/s40590-018-0225-7
DO - 10.1007/s40590-018-0225-7
M3 - Article
SP - 187
EP - 209
JO - Boletin de la Sociedad Matematica Mexicana
JF - Boletin de la Sociedad Matematica Mexicana
SN - 1405-213X
ER -