𝔖 Bobbio Scriptorium
✦   LIBER   ✦

An upper bound for the first eigenvalue of the Dirac operator on compact spin manifolds

✍ Scribed by Helga Baum


Book ID
110559398
Publisher
Springer-Verlag
Year
1991
Tongue
French
Weight
527 KB
Volume
206
Category
Article
ISSN
0025-5874

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Upper bounds for the first eigenvalue of
✍ Ilka Agricola; Thomas Friedrich πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 734 KB

In this paper we will prove new extrinsic upper bounds for the eigenvalues of the Dirac operator on an isometrically immersed surface M 2 ~ ~3 as well as intrinsic bounds for two-dimensional compact manifolds of genus zero and genus one. Moreover, we compare the different estimates of the eigenvalue

An estimate for the first eigenvalue of
✍ B. Alexandrov; G. Grantcharov; S. Ivanov πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 492 KB

An estimate for the first eigenvalue of the Dirac operator on compact Riemannian spin manifold of positive scalar curvature admitting a parallel one-form is found. The possible universal covering spaces of the manifolds on which the smallest possible eigenvalue is attained are also listed. Moreover,