The Spectral Einstein Functional for the Nonminimal de Rham-Hodge Operator

Authors

DOI:

https://doi.org/10.4208/cmr.2025-0023

Abstract

In this paper, we give the definitions of the non-self-adjoint spectral triple and its spectral Einstein functional. We compute the spectral Einstein functional associated with the nonminimal de Rham-Hodge operator on even-dimensional compact manifolds without boundary. Finally, several examples of the non-self-adjoint spectral triple are listed.

Author Biographies

  • Hongfeng Li

    School of Mathematics and Systems Science, Shenyang Normal University, Shenyang 110034, P.R. China.

  • Yong Wang

    School of Mathematics and Statistics, Northeast Normal University,Changchun 130024, P.R. China

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Published

2025-09-26

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Issue

Vol. 41 No. 3 (2025)

Section

Articles

How to Cite

The Spectral Einstein Functional for the Nonminimal de Rham-Hodge Operator. (2025). Communications in Mathematical Research, 41(3), 225-249. https://doi.org/10.4208/cmr.2025-0023