论文标题

De Rham Hodge操作员和Kastler-Kalau-Walze型定理的扰动,用于边界

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

论文作者

Liu, Siyao, Wu, Tong, Wang, Yong

论文摘要

在本文中,我们为Lichnerowicz类型公式提供了De Rham Hodge操作员的扰动。我们证明了De Rham Hodge操作员在4维和6二维紧凑型歧管上的Kastler-Kalau-Walze型定理,并具有(resp.withOut)边界。为我们的主要定理提供了De Rham Hodge操作员扰动的一些具体示例。

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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