2012/04/15 by Simone Farinelli, Farinelli, Simone
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Algebraic and Geometric Analysis #Differential Geometry (math.DG) #FOS: Mathematics #Functional Analysis (math.FA) #Noncommutative and Quantum Gravity Theories
paper · pdf · doi:10.48550/arxiv.1204.3248
openalex publication_date 2012/04/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.