Modular classes revisited

被引：7

作者：

Grabowski, Janusz ^{[1
]}

机构：

[1] Polish Acad Sci, Inst Math, PL-00656 Warsaw, Poland

来源：

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2014年 / 11卷 / 09期

关键词：

Lie algebroid; Berezinian density; Courant algebroid; Dirac structure; LIE ALGEBROIDS; POISSON GEOMETRY; MANIFOLDS; BIALGEBROIDS; MECHANICS; QUASI;

D O I：

10.1142/S0219887814600421

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present a graded-geometric approach to modular classes of Lie algebroids and their generalizations, introducing in this setting an idea of relative modular class of a Dirac structure for certain type of Courant algebroids, called projectable. This novel approach puts several concepts related to Poisson geometry and its generalizations in a new light and simplifies proofs. It gives, in particular, a nice geometric interpretation of modular classes of twisted Poisson structures on Lie algebroids.

引用

页数：11

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