共形扭化Dirac算子与非交换留数  

The conformal twisted Dirac operators and noncommutative residue

作　　者：王剑[1] 郝梦 吴彤 WANG Jian;HAO Meng;WU Tong(School of Science,Tianjin University of Technology and Education,Tianjin 300222,China;School of Mathematics and Statistics,Northeast Normal University,Changchun 130024,China)

机构地区：[1]天津职业技术师范大学理学院,天津300222 [2]东北师范大学数学与统计学院,吉林长春130024

出　　处：《东北师大学报（自然科学版）》2024年第3期39-43,共5页Journal of Northeast Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11501414).

摘　　要：考虑了一类共形扭化Dirac算子,给出了其Lichnerowicz公式.利用Laplace算子的局部表示,在法坐标系下计算出了无边流形与共形扭化Dirac算子相关的非交换留数.A class of conformal twisted Dirac operators is considered and its Lichnerowicz formula is given.By using the local representation of Laplace operator in the normal coordinate,the noncommutative residue of the conformal twisted Dirac operator is calculated for manifolds without boundary.

关 键 词：共形扭化Dirac算子 Lichnerowicz公式 非交换留数 

分 类 号：O186[理学—数学]