Eigenvalue pinching on \(\text{spin}^c\) manifolds
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Publication:501297
DOI10.1016/J.GEOMPHYS.2016.11.006zbMath1360.53053arXiv1604.01596OpenAlexW2626974308MaRDI QIDQ501297
Publication date: 29 December 2016
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1604.01596
Spin and Spin({}^c) geometry (53C27) Global Riemannian geometry, including pinching (53C20) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Spectral theory; eigenvalue problems on manifolds (58C40)
Cites Work
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- 7-dimensional compact Riemannian manifolds with Killing spinors
- Manifolds with small Dirac eigenvalues are nilmanifolds
- Convergence and rigidity of manifolds under Ricci curvature bounds
- On the first eigenvalue of the Dirac operator on 6-dimensional manifolds
- Einstein manifolds of dimension five with small first eigenvalue of the Dirac operator
- Spineurs, opérateurs de Dirac et variations de métriques. (Spinors, Dirac operators and variations of the metrics)
- Parallel spinors and parallel forms
- Generalized Killing spinors and conformal eigenvalue estimates for \(\text{Spin}^c\) manifolds
- Parallel and Killing spinors on \(\text{Spin}^ c\) manifolds
- Harmonic spinors
- On non-simply connected manifolds with non-trivial parallel spinors
- A spinorial approach to Riemannian and conformal geometry
- Real Killing spinors and holonomy
- On the stability of Riemannian manifold with parallel spinors
- Compact 5-Dimensional Riemannian Manifolds with Parallel Spinors
- Der erste Eigenwert des Dirac‐Operators einer kompakten, Riemannschen Mannigfaltigkeit nichtnegativer Skalarkrümmung
- A remark on the first eigenvalue of the Dirac operator on 4-dimensional manifolds
- Some regularity theorems in riemannian geometry
- Zur Existenz paralleler Spinorfelder über Riemannschen Mannigfaltigkeiten
- Riemannian geometry of contact and symplectic manifolds
- Loop spaces, characteristic classes and geometric quantization
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