On higher dimensional exact Courant algebroids

被引：2
|
作者：
Rengifo, Camilo [1 ]
机构：
[1] Univ Los Andes, Dept Matemat, Carrera 1 N 18A 10, Bogota, Colombia
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2016年 / 107卷
关键词：
dg-manifolds; Exact Courant algebroid; Differential graded Lie algebra;
D O I：
10.1016/j.geomphys.2016.04.015
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For a smooth manifold X we show an equivalence of categories between the category of O-X# [n]-extensions of T-X# and the category of higher-dimensional exact Courant algebroids on X. In addition, for any object in the category of R[n] dg-principal bundles over X-# we construct its Atiyah algebroid which gives rise to an example a O-X# [n]-extensions of T-X#. (C) 2016 Elsevier B.V. All rights reserved.
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页码：1 / 14
页数：14
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