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arXiv · 2308.00006

Equivariant Bismut Laplacian and spectral Einstein functional

Jian Wang·Yong Wang
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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.

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Jian Wang, Yong Wang. 2023-07-29. Equivariant Bismut Laplacian and spectral Einstein functional. https://doi.org/10.1142/s0219887824500233

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