𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Upper eigenvalue estimates for Dirac operators

✍ Scribed by Christian Bär

Publisher
Springer
Year
1992
Tongue
English
Weight
251 KB
Volume
10
Category
Article
ISSN
0232-704X

No coin nor oath required. For personal study only.

✦ Synopsis

We derive upper eigenvalue estimates for generalized Dirac operators on closed Riemannian manifolds. In the case of the classical Dirac operator the estimates on the first eigenvalues are sharp for spheres of constant curvature.

📜 SIMILAR VOLUMES

Extrinsic eigenvalue estimates of Dirac
Extrinsic eigenvalue estimates of Dirac operators on Riemannian manifolds
✍ Guangyue Huang; Li Chen; Xiaomei Sun 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 155 KB

## 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