A spectral estimate for the Dirac operator on Riemannian flows
โ Scribed by Nicolas Ginoux; Georges Habib
- Book ID
- 111488628
- Publisher
- SP Versita
- Year
- 2010
- Tongue
- English
- Weight
- 486 KB
- Volume
- 8
- Category
- Article
- ISSN
- 1895-1074
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
An estimate for the first eigenvalue of the Dirac operator on compact Riemannian spin manifold of positive scalar curvature admitting a parallel one-form is found. The possible universal covering spaces of the manifolds on which the smallest possible eigenvalue is attained are also listed. Moreover,
## Abstract We consider families of generalized Dirac operators __D__~__t__~ with constant principal symbol and constant essential spectrum such that the endpoints are gauge equivalent, i.e., __D__~1~ = __W__\*__D__~0~__W__. The spectral flow un any gap in the essential spectrum we express as the F