Some remarks on the integration of the Poisson algebra

被引：1

作者：

Banyaga, A

Donato, P

机构：

[1] UNIV AIX MARSEILLE 1,CTR MATH & INFORMAT,F-13453 MARSEILLE,FRANCE

[2] PENN STATE UNIV,DEPT MATH,UNIVERSITY PK,PA 16802

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 1996年 / 19卷 / 04期

基金：

美国国家科学基金会;

关键词：

integrability; weak integrability; Poisson algebra; infinite dimensional Lie algebra; Calabi homomorphism;

D O I：

10.1016/0393-0440(95)00039-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the integrability of the Poisson algebra of functions with compact supports of a noncompact manifold, We also determine a Lie subalgebra of vector fields which, weakly, integrate the Poisson algebra of a not necessarily compact manifold covered by an exact symplectic manifold.

引用

页码：368 / 378

页数：11

共 20 条

[1]

ADAMS M, 1985, INFINITE DIMENSIONAL, V4, P1

[2] FIXED-POINTS OF SYMPLECTIC MAPS [J].