The Hodge-Dirac operator and Dabrowski-Sitarz-Zalecki type theorems for manifolds with boundary
Differential Geometry
2023-09-15 v1
Abstract
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 this paper, we generalize the results of Dabrowski etc. 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.
Keywords
Cite
@article{arxiv.2309.07558,
title = {The Hodge-Dirac operator and Dabrowski-Sitarz-Zalecki type theorems for manifolds with boundary},
author = {Tong Wu and Yong Wang},
journal= {arXiv preprint arXiv:2309.07558},
year = {2023}
}
Comments
arXiv admin note: text overlap with arXiv:2307.15921