Back to Search
Start Over
The first eigenvalue of the Dirac operator on locally reducible Riemannian manifolds
- Source :
-
Journal of Geometry & Physics . Jan2007, Vol. 57 Issue 2, p467-472. 6p. - Publication Year :
- 2007
-
Abstract
- Abstract: We prove a lower estimate for the first eigenvalue of the Dirac operator on a compact locally reducible Riemannian spin manifold with positive scalar curvature. We determine also the universal covers of the manifolds on which the smallest possible eigenvalue is attained. [Copyright &y& Elsevier]
- Subjects :
- *DIFFERENTIAL geometry
*MATRICES (Mathematics)
*MANIFOLDS (Mathematics)
*TOPOLOGY
Subjects
Details
- Language :
- English
- ISSN :
- 03930440
- Volume :
- 57
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Geometry & Physics
- Publication Type :
- Academic Journal
- Accession number :
- 22963841
- Full Text :
- https://doi.org/10.1016/j.geomphys.2006.04.005