English

Sub-signature operators and the Dabrowski-Sitarz-Zalecki type theorems for manifolds with boundary

Differential Geometry 2023-11-08 v1

Abstract

In this paper, we define the spectral Einstein functional associated with the sub-signature operator for manifolds with boundary. Motivated by the spectral Einstein functional and the sub-signature operator, we relate them to the noncommutative residue for manifolds with boundary. And we give the proof of the Dabrowski-Sitarz-Zalecki type theorems for the spectral Einstein functional associated with the sub-signature operator on 4-dimensional manifolds with boundary.

Keywords

Cite

@article{arxiv.2311.03589,
  title  = {Sub-signature operators and the Dabrowski-Sitarz-Zalecki type theorems for manifolds with boundary},
  author = {Hongfeng Li and Yong Wang},
  journal= {arXiv preprint arXiv:2311.03589},
  year   = {2023}
}

Comments

arXiv admin note: text overlap with arXiv:2308.00833