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.

引用

页码：1 / 14

页数：14

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