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Spectral Torsion for Nonminimal de-Rham Hodge Operator
Jian Wang, Yong Wang
In this paper, we investigate some new spectral torsion which is the extension of spectral torsion for Dirac operators, and compute the spectral torsion associated with nonminimal…
The noncommutative residue, divergence theorems and the spectral geometry functional
Jian Wang, Yong Wang
In this paper, a simple proof of the divergence theorem is given by using the Dirac operator and noncommutative residues. Then we extend the divergence theorem to compact manifolds…
The spectral torsion for the one form rescaled Dirac operator
Jian Wang, Yong Wang
The spectral torsion is defined by three vector fields and Dirac operators and the noncommutative residue. Motivated by the spectral torsion and the one form rescaled Dirac operato…
Inner fluctuations and the spectral Einstein functional
Jian Wang, Yong Wang
The spectral metric and Einstein functionals defined by two vector fields and Laplace-type operators over vector bundles, giving an interesting example of the spinor connection and…