Almost complex Poisson manifolds

被引：9
|
作者：
Cordero, LA
Fernández, M
Ibáñez, R
Ugarte, L
机构：
[1] Univ Santiago de Compostela, Fac Ciencias, Dept Geometria & Topol, Santiago De Compostela 15705, Spain
[2] Univ Basque Country, Fac Ciencias, Dept Matemat, Bilbao 48080, Spain
[3] Univ Zaragoza, Fac Ciencias, Dept Matemat, E-50009 Zaragoza, Spain
来源：
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY | 2000年 / 18卷 / 3-4期
关键词：
Poisson structure; almost complex and complex structures; foliation; LP-cohomology;
D O I：
10.1023/A:1006747701433
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we consider complex Poisson manifolds and extend the concept of complex Poisson structure, due to Lichnerowicz to the more general concept of almost complex Poisson structures. Examples of such structures and the associated generalized foliation are given. Moreover, some properties of the complex symplectic structures as well as of the holomorphic complex Poisson structures are studied.
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页码：265 / 290
页数：26
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