Journal of East China Normal University(Natural Science) >

2021 , Vol. 2021 >Issue 3: 23 - 33

DOI: https://doi.org/10.3969/j.issn.1000-5641.2021.03.004

Mathematics

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

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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.

Key words： Dirac operators with torsion; noncommutative residue; lower-dimensional volumes; even dimensional manifold with boundary

Cite this article

Kaihua BAO , Aihui SUN , Lingyuan XIA . Kastler-Kalau-Walze type theorems for an even dimensional manifold with boundary[J]. Journal of East China Normal University(Natural Science), 2021 , 2021(3) : 23 -33 . DOI: 10.3969/j.issn.1000-5641.2021.03.004

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