The perturbation of the de Rham Hodge Operator and the Kastler-Kalau-Walze type theorem for manifolds with boundary

Siyao Liu; Tong Wu; Yong Wang

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arXiv · 2201.10793

The perturbation of the de Rham Hodge Operator and the Kastler-Kalau-Walze type theorem for manifolds with boundary

Siyao Liu·Tong Wu·Yong Wang

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Abstract

In this paper, we give Lichnerowicz type formulas for the perturbation of the de Rham Hodge operator. We prove the Kastler-Kalau-Walze type theorems for the perturbation of the de Rham Hodge operator on 4-dimensional and 6-dimensional compact manifolds with (resp.without) boundary. Some concrete examples of the perturbation of the de Rham Hodge operator are provided for our main theorems.

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BibTeX RIS

Siyao Liu, Tong Wu, Yong Wang. 2022-01-26. The perturbation of the de Rham Hodge Operator and the Kastler-Kalau-Walze type theorem for manifolds with boundary. https://arxiv.org/abs/2201.10793

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