Journal of Nonlinear Mathematical Physics

Volume 28, Issue 2, June 2021, Pages 254 - 275

Statistical de Rham Hodge Operators and the Kastler-Kalau-Walze Type Theorem for Manifolds With Boundary

Authors
Sining Wei, Yong Wang*
School of Mathematics and Statistics, Northeast Normal University, Changchun, 130024, P.R. China
*Corresponding author: Email: wangy581@nenu.edu.cn
Corresponding Author
Yong Wang
Received 28 December 2020, Accepted 10 April 2021, Available Online 29 April 2021.
DOI
10.2991/jnmp.k.210419.001How to use a DOI?
Keywords
Statistical de Rham Hodge operators; Lichnerowicz type formulas; Kastler-Kalau-Walze type theorem; noncommutative residue
Abstract

In this paper, we give the Lichnerowicz type formulas for statistical de Rham Hodge operators. Moreover, Kastler-Kalau-Walze type theorems for statistical de Rham Hodge operators on compact manifolds with (respectively without) boundary are proved.

Copyright
© 2021 The Authors. Published by Atlantis Press B.V.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
28 - 2
Pages
254 - 275
Publication Date
2021/04/29
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.k.210419.001How to use a DOI?
Copyright
© 2021 The Authors. Published by Atlantis Press B.V.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Sining Wei
AU  - Yong Wang
PY  - 2021
DA  - 2021/04/29
TI  - Statistical de Rham Hodge Operators and the Kastler-Kalau-Walze Type Theorem for Manifolds With Boundary
JO  - Journal of Nonlinear Mathematical Physics
SP  - 254
EP  - 275
VL  - 28
IS  - 2
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.k.210419.001
DO  - 10.2991/jnmp.k.210419.001
ID  - Wei2021
ER  -