3 papers
math.DG2025
Spectral (0,4)-tensor functionals and the noncommutative residue
Hongfeng Li, Yong Wang
In this paper, we derive some spectral (0,4)-tensor functionals by four one-forms and the Dirac operator and the noncommutative residue on even-dimensional compact spin manifolds w…
math.DG2025
The spectral Einstein functional for the nonminimal de Rham-Hodge operator
Hongfeng Li, Yong Wang
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…
math.DG2024
The noncommutative residue and sub-Riemannian limits for the twisted BCV spaces
Hongfeng Li, Kefeng Liu, Yong Wang
In this paper, we derive the sub-Riemannian version of the Kastler-Kalau-Walze type theorem and the Dabrowski-Sitarz-Zalecki type theorem for the twisted BCV spaces. We also comput…