Equivariant Bismut Laplacian and spectral Einstein functional
Differential Geometry
2023-08-29 v1
Abstract
This paper aims to provide an explicit computation of the equivariant noncommutative residue density of which yield the metric and Einstein tensors on even-dimensional Riemannian manifolds. A considerable contribution of this paper is the development of the spectral Einstein functionals by two vector fields and the equivariant Bismut Laplacian over spinor bundles. We prove the equivariant Dabrowski-Sitarz-Zalecki type theorems for lower dimensional spin manifolds with (or without) boundary.
Cite
@article{arxiv.2308.00006,
title = {Equivariant Bismut Laplacian and spectral Einstein functional},
author = {Jian Wang and Yong Wang},
journal= {arXiv preprint arXiv:2308.00006},
year = {2023}
}
Comments
arXiv admin note: text overlap with arXiv:2108.03149. text overlap with arXiv:2307.15921