THE MOMENTUM MAP IN POISSON GEOMETRY

被引：26

作者：

Fernandes, Rui Loja ^{[1
]}

Ortega, Juan-Pablo ^{[2
]}

Ratiu, Tudor S. ^{[3
,4
]}

机构：

[1] Inst Super Tecn, Dept Math, P-1049001 Lisbon, Portugal

[2] Univ Franche Comte, CNRS, F-25030 Besancon, France

[3] Ecole Polytech Fed Lausanne, Sect Math, CH-1015 Lausanne, Switzerland

[4] Ecole Polytech Fed Lausanne, Bernoulli Ctr, CH-1015 Lausanne, Switzerland

来源：

AMERICAN JOURNAL OF MATHEMATICS | 2009年 / 131卷 / 05期

基金：

瑞士国家科学基金会;

关键词：

SYMPLECTIC GROUPOIDS; LIE ALGEBROIDS; CONVEXITY; REDUCTION; BRACKETS; SPACES; INTEGRABILITY;

D O I：

10.1353/ajm.0.0068

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Every action on a Poisson manifold by Poisson diffeomorphisms lifts to a Hamiltonian action on its symplectic groupoid which has a canonically defined momentum map. We study various properties of this momentum map as well as its use in reduction.

引用

页码：1261 / 1310

页数：50

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