关于复合微分算子的W-留数
The W-Residues of Complex Differential Operators
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。
Abstract: 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.
文章引用：王楠, 王剑. 关于复合微分算子的W-留数[J]. 应用数学进展, 2024, 13(11): 5009-5016. https://doi.org/10.12677/aam.2024.1311483

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