{"title":"The Generalized Zhang’s Operator and Kastler–Kalau–Walze Type Theorems","authors":"H. Li, Y. Wang, Y. Yang","doi":"10.1134/S1061920824020080","DOIUrl":null,"url":null,"abstract":"<p> In this paper, we obtain two Lichnerowicz type formulas for the generalized Zhang’s operator. And we give the proof of the Kastler–Kalau–Walze type theorem for the generalized Zhang’s operator on 4-dimensional oriented compact manifolds with (respectively, without) boundary. </p>","PeriodicalId":763,"journal":{"name":"Russian Journal of Mathematical Physics","volume":"31 2","pages":"227 - 254"},"PeriodicalIF":1.7000,"publicationDate":"2024-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Russian Journal of Mathematical Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1134/S1061920824020080","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MATHEMATICAL","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we obtain two Lichnerowicz type formulas for the generalized Zhang’s operator. And we give the proof of the Kastler–Kalau–Walze type theorem for the generalized Zhang’s operator on 4-dimensional oriented compact manifolds with (respectively, without) boundary.
期刊介绍：
Russian Journal of Mathematical Physics is a peer-reviewed periodical that deals with the full range of topics subsumed by that discipline, which lies at the foundation of much of contemporary science. Thus, in addition to mathematical physics per se, the journal coverage includes, but is not limited to, functional analysis, linear and nonlinear partial differential equations, algebras, quantization, quantum field theory, modern differential and algebraic geometry and topology, representations of Lie groups, calculus of variations, asymptotic methods, random process theory, dynamical systems, and control theory.
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