The spectral Einstein functional for the Dirac operator with torsion

TL;DR

This paper calculates the spectral Einstein functional for the Dirac operator with torsion on even-dimensional spin manifolds, advancing understanding of geometric analysis in the presence of torsion.

Contribution

It introduces the computation of the spectral Einstein functional specifically for the Dirac operator with torsion on spin manifolds, a novel extension in spectral geometry.

Findings

Explicit formula for the spectral Einstein functional with torsion

Insights into geometric properties of spin manifolds with torsion

Potential applications in mathematical physics and geometry

Abstract

In this paper, we compute the spectral Einstein functional associated with the Dirac operator with torsion on even-dimensional spin manifolds without boundary.