The first Dirichlet eigenvalue and radius of a geodesic ball

Author:

Bang Seung-Jin

Abstract

We give certain relation between the first Dirichlet eigenvalue and radius of a geodesic ball in a connected, compact n n -dimensional Riemannian globally symmetric space of rank one.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference3 articles.

1. Eigenvalues of the Laplacian on a geodesic ball in the 𝑛-sphere;Bang, Seung-Jin;Chinese J. Math.,1987

2. Pompeiu’s problem on symmetric spaces;Berenstein, Carlos A.;Comment. Math. Helv.,1980

3. The Radon transform on Euclidean spaces, compact two-point homogeneous spaces and Grassmann manifolds;Helgason, Sigurđur;Acta Math.,1965

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. A comparison theorem for the first Dirichlet eigenvalue of a domain in a Kaehler submanifold;Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics;1994-04

2. Bounds for the first Dirichlet eigenvalue of domains in Kaehler manifolds;Archiv der Mathematik;1991-04

3. EIGENVALUES OF THE LAPLACIAN;Mechanics, Analysis and Geometry: 200 Years After Lagrange;1991

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