关于复合微分算子的W-留数  

The W-Residues of Complex Differential Operators

作　　者：王楠 王剑[1] 

机构地区：[1]天津职业技术师范大学理学院,天津

出　　处：《应用数学进展》2024年第11期5009-5016,共8页Advances in Applied Mathematics

摘　　要：本文首先综述近年来关于微分算子W-留数的一系列研究进展。之后研究一类复合微分算子D+c(X)的基本结构,并在法坐标系下导出了微分算子的主符号表示,最终结合Lichnerowicz公式给出了5维带边流形上复合微分算子的W-留数表示。In this paper, a series of research advances on W-residue of differential operators in recent years are reviewed. Then the basic structure of a class of complex differential operators D+c(X)is studied, and the principal symbolic representation of differential operators is derived in normal coordinate system. Finally, the W-residue representation of complex differential operators on 5-dimensional manifolds with edges is given by combining Lichnerowicz formula.

关 键 词：复合微分算子 Lichnerowicz公式 非交换留数 

分 类 号：O17[理学—数学]