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The spectral Einstein functional for the Dirac operator with torsion

Jin Hong, Yong Wang

Abstract

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

The spectral Einstein functional for the Dirac operator with torsion

Abstract

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

Paper Structure

This paper contains 3 sections, 8 theorems, 134 equations.

Table of Contents

  1. Introduction
  2. The Dirac operator with torsion
  3. The spectral Einstein functional for the Dirac operator with torsion

Key Result

Lemma 2.1

DL The following identities hold: where ${\rm R}_{a j b k}$ and $\operatorname{Ric}_{a k}$ are the components of the Riemann and Ricci tensor.

Theorems & Definitions (21)

  • Lemma 2.1
  • Lemma 2.2
  • Definition 3.1
  • Proposition 3.2
  • Theorem 3.3
  • proof
  • Lemma 3.4
  • Lemma 3.5
  • Lemma 3.6
  • Definition 3.7
  • ...and 11 more