Riemannian Metrics and Harmonic Sections of Spinor Bundles
Differential Geometry
2024-03-22 v9 Functional Analysis
Abstract
We study the clustering of the lowest non negative eigenvalue of the Dirac operator on a general Dirac bundle when the metric structure is varied. In the classical case we show that any closed spin manifold of dimension greater than or equal to four has a Riemannian metric admitting non trivial harmonic spinors.
Keywords
Cite
@article{arxiv.1204.3248,
title = {Riemannian Metrics and Harmonic Sections of Spinor Bundles},
author = {Simone Farinelli},
journal= {arXiv preprint arXiv:1204.3248},
year = {2024}
}