𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Eigenvalue estimates of the Dirac operator depending on the Ricci tensor

✍ Scribed by T. Friedrich; K.-D. Kirchberg

Publisher
Springer
Year
2002
Tongue
English
Weight
170 KB
Volume
324
Category
Article
ISSN
0025-5831

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Eigenvalue estimates for the Dirac opera
Eigenvalue estimates for the Dirac operator depending on the Weyl tensor
✍ Thomas Friedrich; Klaus-Dieter Kirchberg 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 87 KB

We prove new lower bounds for the first eigenvalue of the Dirac operator on compact manifolds whose Weyl tensor or curvature tensor, respectively, is divergence-free. In the special case of Einstein manifolds, we obtain estimates depending on the Weyl tensor.

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