A Kastler-Kalau-Walze Type Theorem for the J-Twist DJ of the Dirac Operator

被引：0

作者：

Liu, Siyao ^{[1
]}

Wang, Yong ^{[1
]}

机构：

[1] Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China

来源：

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2023年 / 30卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Dirac operator; The J-twist of the Dirac operator; Kastler-Kalau-Walze type theorems; LOWER-DIMENSIONAL VOLUMES; NONCOMMUTATIVE RESIDUE; DIFFERENTIAL FORMS; MANIFOLDS; GEOMETRY; GRAVITY;

D O I：

10.1007/s44198-022-00100-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we give a Lichnerowicz type formula for the J-twist D-J of the Dirac operator. And we prove a Kastler-Kalau-Walze type theorem for the J-twist D-J of the Dirac operator on three-dimensional and four-dimensional almost product Riemannian spin manifold with boundary.

引用

页码：743 / 794

页数：52

共 44 条

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孙爱慧
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[42] Theorem of Completeness for a Dirac-Type Operator with Generalized λ-Depending Boundary Conditions
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[43] Theorem of Completeness for a Dirac-Type Operator with Generalized λ-Depending Boundary Conditions
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[44] The operator -1c^(V)(d+δ)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\sqrt{-1}\widehat{c}(V)(d+\delta )$$\end{document} and the Kastler–Kalau–Walze type theorems
Tong Wu
Yong Wang
Advances in Operator Theory, 2022, 7 (4)

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