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math.DG2024
The linear perturbation of the metric and the bimetric conformal invarints
Tong Wu, Yong Wang
In this paper, we give a method to construct bimetric conformal invarints by the linear metric perturbations and the conformal invarints. And we compute the metric perturbations of…
math.DG2024
The Connes-Chamseddine cycle and the noncommutative integral
Tong Wu, Yong Wang
In [5], Connes and Chamseddine defined a cycle in the general framework of noncommutative geometry. They computed this cycle for the Dirac operator on 4-dimensioanl manifolds. We p…
math.DG2024
The pseudo-differential perturbations of the Dirac operator and the Kastler-Kalau-Walze type theorems
Tong Wu, Yong Wang
We define two types of pseudo-differential perturbations of the Dirac operator within the framework of the noncommutative geometry. And we obtain the noncommutative residue of the…