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arXiv · 2311.03589

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

Hongfeng Li·Yong Wang
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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.

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Hongfeng Li, Yong Wang. 2023-10-31. Sub-signature operators and the Dabrowski-Sitarz-Zalecki type theorems for manifolds with boundary. https://arxiv.org/abs/2311.03589

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