数学

偶数维带边流形上的一类Kastler-Kalau-Walze类型定理

  • 包开花 ,
  • 孙爱慧 ,
  • 夏令远
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  • 1. 内蒙古民族大学 数理学院, 内蒙古 通辽 028000
    2. 吉林师范大学 数学学院, 吉林 四平 136000
    3. 东北师范大学 数学与统计学院, 长春 130024

收稿日期: 2020-02-04

  网络出版日期: 2021-05-26

基金资助

国家自然科学基金(11901322); 内蒙古自治区自然科学基金(2018LHO1004)

Kastler-Kalau-Walze type theorems for an even dimensional manifold with boundary

  • Kaihua BAO ,
  • Aihui SUN ,
  • Lingyuan XIA
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  • 1. College of Mathematics and Physics, Inner Mongolia University for Nationalities, Tongliao Inner Mongolia 028000, China
    2. College of Mathematics, Jilin Normal University, Siping Jilin 136000, China
    3. School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China

Received date: 2020-02-04

  Online published: 2021-05-26

摘要

在任意偶数维带边Spin流形上建立了一类关于带挠率的Dirac算子的Kastler-Kalau-Walze类型定理, 为相应流形上的Einstein-Hilbert作用给出了简单的算子理论解释.

本文引用格式

包开花 , 孙爱慧 , 夏令远 . 偶数维带边流形上的一类Kastler-Kalau-Walze类型定理[J]. 华东师范大学学报(自然科学版), 2021 , 2021(3) : 23 -33 . DOI: 10.3969/j.issn.1000-5641.2021.03.004

Abstract

In this paper, we establish a Kastler-Kalau-Walze type theorem for an even dimensional manifold with boundary about Dirac operators with torsion; in addition, we provide a simple theoretical explanation to the Einstein-Hilbert action for any even dimensional manifold with boundary.

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