𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Bounds for the first Dirichlet eigenvalue of domains in Kaehler manifolds

✍ Scribed by Fernando Giménez; Vicente Miquel

Book ID
112496878
Publisher
Springer
Year
1991
Tongue
English
Weight
238 KB
Volume
56
Category
Article
ISSN
0003-889X

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Bounds for the first Dirichlet eigenvalu
Bounds for the first Dirichlet eigenvalue attained at an infinite family of Riemannian manifolds
✍ Ana Lluch; Vicente Miquel 📂 Article 📅 1996 🏛 Springer 🌐 English ⚖ 990 KB

Let M be a compact Riemannian manifold with smooth boundary OM. We get bounds for the first eigenvalue of the Dirichlet eigenvalue problem on M in terms of bounds of the sectional curvature of M and the normal curvatures of OM. We discuss the equality, which is attained precisely on certain model sp

Curvature and the eigenvalues of the Dol
Curvature and the eigenvalues of the Dolbeault complex for Kaehler manifolds
✍ Peter B Gilkey 📂 Article 📅 1973 🏛 Elsevier Science 🌐 English ⚖ 715 KB

Such local formulae have been discussed in the real case in [ 1, 31. We can construct maps of order 2m by taking combinations of Chern classes on M and E. Such maps will map metrics g, h to 2m forms and will vanish identically on all manifolds of the form M = T, >( Nzme2 where g, h are product metri

The first Dirichlet eigenvalue of a comp
The first Dirichlet eigenvalue of a compact manifold and the Yang conjecture
✍ Jun Ling 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 117 KB

## Abstract We give a new estimate on the lower bound of the first Dirichlet eigenvalue of a compact Riemannian manifold with negative lower bound of Ricci curvature and provide a solution for a conjecture of H. C. Yang. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)