Riemannian Metrics and Harmonic Sections of Spinor Bundles
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arXiv
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| Format: | Preprint |
| Published: |
2012
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| _version_ | 1866916168447557632 |
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| author | Farinelli, Simone |
| author_facet | Farinelli, Simone |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1204_3248 |
| institution | arXiv |
| publishDate | 2012 |
| record_format | arxiv |
| spellingShingle | Riemannian Metrics and Harmonic Sections of Spinor Bundles Farinelli, Simone Differential Geometry Functional Analysis 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. |
| title | Riemannian Metrics and Harmonic Sections of Spinor Bundles |
| topic | Differential Geometry Functional Analysis |
| url | https://arxiv.org/abs/1204.3248 |