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Volume 41, Issue 3
The Spectral Einstein Functional for the Nonminimal de Rham-Hodge Operator

Hongfeng Li & Yong Wang

DOI: 10.4208/cmr.2025-0023

Commun. Math. Res., 41 (2025), pp. 225-249.

Published online: 2025-09

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  • 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.

  • Keywords

The nonminimal de Rham-Hodge operator, non-self-adjoint spectral Einstein functional, noncommutative residue.

  • AMS Subject Headings

53C40, 53C42

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CMR-41-225, author = {Li , Hongfeng and Wang , Yong}, title = {The Spectral Einstein Functional for the Nonminimal de Rham-Hodge Operator}, journal = {Communications in Mathematical Research }, year = {2025}, volume = {41}, number = {3}, pages = {225--249}, 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.

}, issn = {2707-8523}, doi = {https://doi.org/10.4208/cmr.2025-0023}, url = {http://global-sci.org/intro/article_detail/cmr/24468.html} }
TY - JOUR T1 - The Spectral Einstein Functional for the Nonminimal de Rham-Hodge Operator AU - Li , Hongfeng AU - Wang , Yong JO - Communications in Mathematical Research VL - 3 SP - 225 EP - 249 PY - 2025 DA - 2025/09 SN - 41 DO - http://doi.org/10.4208/cmr.2025-0023 UR - https://global-sci.org/intro/article_detail/cmr/24468.html KW - The nonminimal de Rham-Hodge operator, non-self-adjoint spectral Einstein functional, noncommutative residue. AB -

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.

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