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Almost Complex Poisson Manifolds |
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| Authors: | Luis A Cordero Marisa Fernández Raúl Ibáñez Luis Ugarte |
| Institution: | (1) Departamento de Geometría y Topología, Facultad de Ciencias, Universidad de Santiago de Compostela, 15705 Santiago de Compostela, Spain;(2) Departamento de Matemáticas, Facultad de Ciencias, Universidad del País Vasco, Apartado 644, 48080 Bilbao, Spain;(3) Departamento de Matemáticas, Facultad de Ciencias, Universidad del País Vasco, Apartado 644, 48080 Bilbao, Spain;(4) Departamento de Matemáticas, Facultad de Ciencias, Universidad de Zaragoza, 50009 Zaragoza, Spain |
| Abstract: | In this paper we consider complex Poisson manifolds and extendthe concept of complex Poisson structure, due to Lichnerowicz to themore general concept of almost complex Poisson structures. Examples ofsuch structures and the associated generalized foliation are given.Moreover, some properties of the complex symplectic structures as wellas of the holomorphic complex Poisson structures are studied. |
| Keywords: | Poisson structure almost complex and complex structures foliation LP-cohomology |
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