The spectral Einstein functional for the nonminimal de Rham-Hodge operator

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.

arXiv admin note: text overlap with arXiv:2501.04044