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- Title
The Hodge–Dirac operator and Dabrowski–Sitarz–Zalecki-type theorems for manifolds with boundary.
- Authors
Wu, Tong; Wang, Yong
- Abstract
Dabrowski et al. [Spectral metric and Einstein functionals for Hodge–Dirac operator, preprint (2023), arXiv:2307.14877] gave spectral Einstein bilinear functionals of differential forms for the Hodge–Dirac operator d + δ on an oriented even-dimensional Riemannian manifold. In this paper, we generalize the results of Dabrowski et al. to the cases of 4-dimensional oriented Riemannian manifolds with boundary. Furthermore, we give the proof of Dabrowski–Sitarz–Zalecki-type theorems associated with the Hodge–Dirac operator for manifolds with boundary.
- Subjects
EINSTEIN, Albert, 1879-1955; DIFFERENTIAL forms; RIEMANNIAN manifolds; EINSTEIN manifolds; FUNCTIONALS
- Publication
International Journal of Geometric Methods in Modern Physics, 2024, Vol 21, Issue 9, p1
- ISSN
0219-8878
- Publication type
Article
- DOI
10.1142/S0219887824501627