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Dirac eigenvalue estimates on surfaces

✍ Scribed by Bernd Ammann; Christian Bär


Book ID
105875961
Publisher
Springer-Verlag
Year
2002
Tongue
French
Weight
265 KB
Volume
240
Category
Article
ISSN
0025-5874

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📜 SIMILAR VOLUMES


Upper eigenvalue estimates for Dirac ope
✍ Christian Bär 📂 Article 📅 1992 🏛 Springer 🌐 English ⚖ 251 KB

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.

Extrinsic eigenvalue estimates of Dirac
✍ 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