摘要
在任意偶数维带边Spin流形上建立了一类关于带挠率的Dirac算子的Kastler-Kalau-Walze类型定理,为相应流形上的Einstein-Hilbert作用给出了简单的算子理论解释.
A Kastler-Kalau-Walze type theorem for any even dimensional manifolds with boundary about Dirac operators with torsion was established,and a simple theoretical explanation was given to Einstein-Hilbert action for any even dimensional manifolds with boundary.
作者
孙爱慧
包开花
夏令远
SUN Ai-hui;BAO Kai-hua;XIA Ling-yuan(College of Mathematics,Jilin Normal University,Siping 136000,China;School of Mathematics and Physics,Inner Mongolia University for Nationalities,Tongliao 028000,China;School of Mathematics and Statistics,Northeast Normal University,Changchun 130024,China)
出处
《东北师大学报（自然科学版）》
CAS
北大核心
2021年第4期23-29,共7页
Journal of Northeast Normal University(Natural Science Edition)
基金
国家自然科学基金资助项目(11901322)
吉林师范大学博士启动项目(2019001).
关键词
带挠率的Dirac算子
非交换留数
低维体积
任意偶数维带边流形
Dirac operators with torsion
noncommutative residue
lower-dimensional volumes
any even dimensional manifolds with boundary
