Spectral bounds for Dirac operators on open manifolds
✍ Scribed by Christian Bär
- Publisher
- Springer
- Year
- 2009
- Tongue
- English
- Weight
- 239 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0232-704X
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📜 SIMILAR VOLUMES
Let M be a Riemannian manifold which satisfies the doubling volume property. Let be the Laplace-Beltrami operator on M and m(λ), λ ∈ R, a multiplier satisfying the Mikhlin-Hörmander condition. We also assume that the heat kernel satisfies certain upper Gaussian estimates and we prove that there is a
## Abstract For eigenvalues of generalized Dirac operators on compact Riemannian manifolds, we obtain a general inequality. By using this inequality, we study eigenvalues of generalized Dirac operators on compact submanifolds of Euclidean spaces, of spheres, and of real, complex and quaternionic pr