English

The spectral Einstein functional and the noncommutative residue for manifolds with boundary

Differential Geometry 2022-12-26 v1

Abstract

In this paper, we define the spectral Einstein functional associated with the Dirac operator for manifolds with boundary. And we give the proof of Kastler-Kalau-Walze type theorem for the spectral Einstein functional associated with the Dirac operator on 4-dimensional manifolds with boundary.

Keywords

Cite

@article{arxiv.2212.12182,
  title  = {The spectral Einstein functional and the noncommutative residue for manifolds with boundary},
  author = {Tong Wu and Yong Wang},
  journal= {arXiv preprint arXiv:2212.12182},
  year   = {2022}
}