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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.DG2023★ 1 cited
The general Kastler-Kalau-Walze type theorem and the Dabrowski-Sitarz-Zalecki type theorem for odd dimensional manifold with boundary
Tong Wu, Yong Wang, Sining Wei
In this paper, we give the proof of the general Kastler-Kalau-Walze type theorem and the Dabrowski-Sitarz-Zalecki type theorem on odd dimensional compact manifolds with boundary.
math.DG2023
The Hodge-Dirac operator and Dabrowski-Sitarz-Zalecki type theorems for manifolds with boundary
Tong Wu, Yong Wang
In [10], Dabrowski etc. gave spectral Einstein bilinear functionals of differential forms for the Hodge-Dirac operator on an oriented even-dimensional Riemannian manifold. In…