Equivariant Bismut Laplacian and spectral Einstein functional

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.

arXiv commentarXiv admin note: text overlap with arXiv:2108.03149. text overlap with arXiv:2307.15921

References in corpus (7)

• Gravity, Non-Commutative Geometry and the Wodzicki Residue
• Differential Forms and the Wodzicki Residue for Manifolds with Boundary
• Gravity and the Noncommutative Residue for Manifolds with Boundary
• A Note on the Wodzicki Residue
• Lower dimensional volumes and the Kastler-Kalau-Walze type theorem for Manifolds with Boundary
• Curved noncommutative torus and Gauss--Bonnet
• Spectral Metric and Einstein Functionals