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20062023
most citedDifferential Forms and the Wodzicki Residue for Manifolds with Boundary

71 citations · 306 across the 73 of their papers we have counts for

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Showing 2022Show all

12 papers · 1 filter

math.DG2022

Riemannian geometry of noncommutative super surfaces

Yong Wang, Tong Wu

In this paper, a Riemannian geometry of noncommutative super surfaces is developed which generalizes [4] to the super case. The notions of metric and connections on such noncommuta…

math.DG2022

Geometric structures of Morris-Thorne wormhole metric with the semi-symmetric non-metric connections

Siyao Liu, Yong Wang

Spacetime is a 4-dimensional connected Lorentzian manifold. In this paper, we extend the Levi-Civita connection in the definition of spacetime to the semi-symmetric non-metric conn…

math.DG2022

The spectral Einstein functional and the noncommutative residue for manifolds with boundary

Tong Wu, Yong Wang

In this paper, we define the spectral Einstein functional associated with the Dirac operator for manifolds with boundary. And we give the proof of Kastler-Kalau-Walze type theorem…

math.DG2022

Conformal Perturbations of modified Novikov Operators and the Kastler-Kalau-Walze type theorem

Sining Wei, Yong Wang

In this paper, we obtain two Kastler-Kalau-Walze type theorems for conformal perturbations of modified Novikov Operators on four-dimensional and six-dimensional compact manifolds w…

math.DG2022★ 1 cited

The J-twist D_J of the Dirac operator and the Kastler-Kalau-Walze type theorem for six-dimensional manifolds with boundary

Siyao Liu, Yong Wang

In [22], the authors proved a Kastler-Kalau-Walze type theorem for the J-twist D_J of the Dirac operator on 3-dimensional and 4-dimensional almost product Riemannian spin manifold…

math.DG2022

Affine connections on the algebra of differential forms

Yong Wang, Shuang Wang

In this paper, we define the semi-symmetric metric connection on the algebra of differential forms. We compute some special semi-symmetric metric connections and their curvature te…