In this paper,the authors obtain two kinds of Kastler-Kalau-Walze type theorems for conformal perturbations of twisted Dirac operators and conformal perturbations of signature operators by a vector bundle with a non-u...In this paper,the authors obtain two kinds of Kastler-Kalau-Walze type theorems for conformal perturbations of twisted Dirac operators and conformal perturbations of signature operators by a vector bundle with a non-unitary connection on six-dimensional manifolds with(respectively without)boundary.展开更多
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–Sitarz–Zalecki type theorems associated w...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–Sitarz–Zalecki type theorems associated with the spectral Einstein functionals for perturbations of Dirac operators,particularly in the cases of on 4-dimensional manifolds with boundary.展开更多
In this paper,we compute sub-Riemannian limits of Gaussian curvature for a Euclidean C^(2)-smooth surface in the affine group and the group of rigid motions of the Minkowski plane away from characteristic points and s...In this paper,we compute sub-Riemannian limits of Gaussian curvature for a Euclidean C^(2)-smooth surface in the affine group and the group of rigid motions of the Minkowski plane away from characteristic points and signed geodesic curvature for Euclidean C^(2)-smooth curves on surfaces.We get Gauss-Bonnet theorems in the affine group and the group of rigid motions of the Minkowski plane.展开更多
基金supported by the National Natural Science Foundation of China(No.11771070)the School-Level Project of Dongbei University of Finance and Economics(No.DUFE202159).
文摘In this paper,the authors obtain two kinds of Kastler-Kalau-Walze type theorems for conformal perturbations of twisted Dirac operators and conformal perturbations of signature operators by a vector bundle with a non-unitary connection on six-dimensional manifolds with(respectively without)boundary.
基金Supported by NSFC(Grant Nos.12301063 and 11771070)2024 Liaoning Provincial Natural Science Foundation Program(Ph.D.Research Start-up Project)(Grant No.2024-BS-205)。
文摘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–Sitarz–Zalecki type theorems associated with the spectral Einstein functionals for perturbations of Dirac operators,particularly in the cases of on 4-dimensional manifolds with boundary.
基金supported by National Natural Science Foundation of China(Grant No.11771070)。
文摘In this paper,we compute sub-Riemannian limits of Gaussian curvature for a Euclidean C^(2)-smooth surface in the affine group and the group of rigid motions of the Minkowski plane away from characteristic points and signed geodesic curvature for Euclidean C^(2)-smooth curves on surfaces.We get Gauss-Bonnet theorems in the affine group and the group of rigid motions of the Minkowski plane.
