Lie and Courant algebroids on foliated manifolds

被引：2

作者：

Vaisman, Izu ^{[1
]}

机构：

[1] Univ Haifa, Dept Math, IL-31999 Haifa, Israel

来源：

BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY | 2011年 / 42卷 / 04期

关键词：

Foliation; Lie Algebroid; Courant Algebroid; REDUCTION;

D O I：

10.1007/s00574-011-0036-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This is an exposition of the subject, which was developed in the author's papers [19, 20]. Various results from the theory of foliations (cohomology, characteristic classes, deformations, etc.) are extended to subalgebroids of Lie algebroids that generalize the tangent integrable distributions. We also suggest a definition of foliated Courant algebroids and give some corresponding results and constructions.

引用

页码：805 / 830

页数：26