摘要
在向量丛ε~1(M)上引入了扩张的镜像Courant代数胚。利用扩张的镜像Courant括号是通过向量丛自同构将R变换为R的对应于向量丛ε~1(M)上标准扩张的Courant括号的括号这个理论知识,研究了Courant代数胚镜像扩张下的代数几何结构,得出扩张的镜像Courant代数胚Q_Ω为扩张的镜像Courant代数胚Q_Ω的Ω-扭转且扩张的镜像Courant代数胚的态射是它们各自扭转的态射的结论,也为研究Dirac丛提供了一种新的思路。
In this paper introduce extended mirror Courant algebroids and their mirror Dirac structures on the vector bundleε~1(M).The extended mirror Courant bracket is the bracket corresponding to the standard extended Courant bracket on the vector bundleε~1(M)via the vector bundle automorphism exchanging R to R.This paper is to study the algebraic geometry structures under the extend mirror Courant algebroids.We have found that the morphisms of the extended mirror Courant algebroids are the twisted and extennded mirror Courant algebroids,which are their respective twisted morphisms.Also provides a new idea for the study of Dirac bundle.
作者
毕艳会
杨一婷
BI Yan-hui;YANG Yi-ting(School of Mathematics and Information Sciences,Nanchang Hangkong University,Nanchang 330063,China)
出处
《南昌航空大学学报（自然科学版）》
CAS
2020年第1期21-25,42,共6页
Journal of Nanchang Hangkong University(Natural Sciences)
基金
国家自然科学基金(11961049,11601219)
