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Lower eigenvalue estimates for Dirac operators

✍ Scribed by Christian Bär

Publisher
Springer
Year
1992
Tongue
English
Weight
301 KB
Volume
293
Category
Article
ISSN
0025-5831

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📜 SIMILAR VOLUMES

Upper eigenvalue estimates for Dirac ope
Upper eigenvalue estimates for Dirac operators
✍ 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
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

A new method for eigenvalue estimates fo
A new method for eigenvalue estimates for Dirac operators on certain manifolds with Sk-symmetry
✍ Margarita Kraus; Christiane Tretter 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 147 KB

We prove estimates for the first nonnegative eigenvalue of the Dirac operator on certain manifolds with SO(k + 1)-symmetry in terms of geometric properties of the manifold. For the proof we employ an abstract technique which is new in this context and may apply to other cases of manifolds as well.