The General Kastler–Kalau–Walze Type Theorem for the \(J\)-Twist \(D_{J}\) of the Dirac Operator

IF 1.5 3区物理与天体物理 Q2 PHYSICS, MATHEMATICAL

Russian Journal of Mathematical Physics Pub Date : 2025-07-29 DOI:10.1134/S1061920824601204

Siyao Liu, Yong Wang

引用次数: 0

Abstract

In [21] and [22], we proved the Kastler–Kalau–Walze type theorem for the \(J\)-twist \(D_{J}\) of the Dirac operator on \(3\)-dimensional, \(4\)-dimensional, and \(6\)-dimensional almost product Riemannian spin manifolds with boundary. In this paper, we generalize our previous conclusions and establish the proof of the general Kastler–Kalau–Walze type theorem for the \(J\)-twist \(D_{J}\) of the Dirac operator on any even-dimensional almost product Riemannian spin manifold with boundary.

DOI 10.1134/S1061920824601204

查看原文本刊更多论文

狄拉克算子\(J\) -Twist \(D_{J}\)的一般Kastler-Kalau-Walze型定理

在[21]和[22]中，我们证明了\(3\)维、\(4\)维和\(6\)维有边界的几乎积黎曼自旋流形上Dirac算子\(J\) -twist \(D_{J}\)的kastler - kalu - walze型定理。本文推广了以往的结论，建立了在任意偶维几乎积黎曼自旋流形上Dirac算子\(J\) -twist \(D_{J}\)的一般kastler - kalu - walze型定理的证明。Doi 10.1134/ s1061920824601204

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Russian Journal of Mathematical Physics 物理-物理：数学物理

CiteScore

3.10

自引率

14.30%

发文量

审稿时长

>12 weeks

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.