𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The spectrum of the Bochner-Laplace operator on the 1-forms on a compact Riemannian manifold

✍ Scribed by Grigorios Tsagas


Publisher
Springer-Verlag
Year
1978
Tongue
French
Weight
184 KB
Volume
164
Category
Article
ISSN
0025-5874

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


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,

The first eigenvalue of the p-Laplacian
✍ Shigeo Kawai; Nobumitsu Nakauchi πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 135 KB

The ΓΏrst nonlinear eigenvalue of the p-Laplacian (p ΒΏ 2) is investigated for a compact manifold of nonnegative Ricci curvature with or without boundary. Lower bound estimates are given by the diameter or the inscribed radius. The key ingredients in proofs are the formula of Bochner-Weitz onbeck type

Spectrum of the SchrΓΆdinger Operator on
✍ S. Nayatani; H. Urakawa πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 595 KB

The spectrum and essential spectrum of the SchrΓΆdinger operator \(A+V\) on a complete manifold are studied. As applications, we determine the index of the catenoid of any dimension and the essential spectrum for several minimal submanifolds in the Euclidean space of the Jacobi operator arising from