2 citations · 6 across the 13 of their papers we have counts for
13 papers
Hamiltonian-Type Spectral Functionals for Time-Dependent Perturbed Hodge--de Rham Operators
Sining Wei, Yong Wang
Let be a smooth family of Riemannian metrics on an oriented manifold of even dimension , and let on the fixed exterior bundle, with self-adj…
The Bimetric generalization of Kastler--Kalau--Walze Type Theorems
Sining Wei, Yong Wang
Let be a closed oriented manifold of even dimension , equipped with a smooth metric and a Riemannian metric . We compute the Wodzicki residue of $D_{g_1}…
Transformation operators and the Kastler-Kalau-Walze type theorems on 4-dimensional manifolds
Sining Wei, Yong Wang
In this paper, we compute the lower-dimensional volume Vol(1,1) about transformation operators for 4- dimensional spin manifolds with boundary and we also get the Kastler-Kalau-Wal…
Perturbations of Dirac operators, spectral Einstein functionals and the Noncommutative residue
Sining Wei, Yong Wang
In this paper, we introduce the spectral Einstein functional for perturbations of Dirac operators on manifolds with boundary. Furthermore, we provide the proof of the Dabrowski-Sit…
Conformal perturbations of dirac operators and general Kastler-Kalau-Walze type theorems for even dimensional manifolds with boundary
Sining Wei, Hongfeng Li, Yong Wang
In this paper, we establish the proof of general Kastler-Kalau-Walze type theorems for conformal perturbations of dirac Operators on even dimensional compact manifolds with (respec…
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.
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…
Conformal Perturbations of Twisted Dirac Operators and Noncommutative residue
Sining Wei, Jian Wang, Yong Wang
In this paper, we obtain two kinds of Kastler-Kalau-Walze type theorems for conformal perturbations of twisted Dirac operators and conformal perturbations of signature operators by…
Sub-signature Operators and the Kastler-Kalau-Walze type theorem for manifolds with boundary
Tong Wu, Sining Wei, Yong Wang
In this paper, we obtain two Lichnerowicz type formulas for sub-signature operators. And we give the proof of Kastler-Kalau-Walze type theorems for sub-signature operators on 4-dim…
Statistical de Rham Hodge operators and the Kastler-Kalau-Walze type theorem for manifolds with boundary
Sining Wei, Yong Wang
In this paper, we give the Lichnerowicz type formulas for statistical de Rham Hodge operators. Moreover, Kastler-Kalau-Walze type theorems for statistical de Rham Hodge operators o…
Gauss-Bonnet theorems in the affine group and the group of rigid motions of the Minkowski plane
Yong Wang, Sining Wei
In this paper, we compute sub-Riemannian limits of Gaussian curvature for a Euclidean -smooth surface in the affine group and the group of rigid motions of the Minkowski plane…
Modified Novikov Operators and the Kastler-Kalau-Walze type theorem for manifolds with boundary
Sining Wei, Yong Wang
In this paper, we give two Lichnerowicz type formulas for modified Novikov operators. We prove KastlerKalau-Walze type theorems for modified Novikov operators on compact manifolds…
Twisted Dirac Operators and the Noncommutative Residue for Manifolds with Boundary
Jian Wang, Yong Wang
In this paper, we give two Lichnerowicz type formulas for Dirac operators and signature operators twisted by a vector bundle with a non-unitary connection. We also prove two Kastle…