Ricci-Flat Manifolds, Parallel Spinors and the Rosenberg Index
Every closed connected Riemannian spin manifold of non-zero Â-genus or non-zero Hitchin invariant with non-negative scalar curvature admits a parallel spinor, in particular is Ricci-flat. In this note, we generalize this result to closed connected spin manifolds of non-vanishing Rosenberg index. Thi...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2025 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2025
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/214094 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Ricci-Flat Manifolds, Parallel Spinors and the Rosenberg Index. Thomas Tony. SIGMA 21 (2025), 072, 7 pages |