Work

The Lichnerowicz formula and residue for Dirac operator with one form

Year: 2024

Type: article

Abstract: In this paper, a Dirac operator with formal perturbation is studied. We study the decomposition formula of the Dirac operator squared, and get the generalized Lichnerowicz formula. According to the relation between the noncommutative remainder of a formal Dirac operator and the trace of the Dirac operator, the noncommutative remainder of a formal Dirac operator can be obtained by directly calculating the trace of the endomorphism.

Source: Advances in Engineering Technology Research

DOI: 10.56028/aetr.12.1.41.2024

Authors: Nan Wang, Jian Wang

Institution: Tianjin University of Technology and Education

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4405729996

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