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.