The first Dirichlet eigenvalue and radius of a geodesic ball
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- by Seung-Jin Bang PDF
- Proc. Amer. Math. Soc. 104 (1988), 885-886 Request permission
Abstract:
We give certain relation between the first Dirichlet eigenvalue and radius of a geodesic ball in a connected, compact $n$-dimensional Riemannian globally symmetric space of rank one.References
- Seung-Jin Bang, Eigenvalues of the Laplacian on a geodesic ball in the $n$-sphere, Chinese J. Math. 15 (1987), no. 4, 237–245. MR 947401
- Carlos A. Berenstein and Lawrence Zalcman, Pompeiu’s problem on symmetric spaces, Comment. Math. Helv. 55 (1980), no. 4, 593–621. MR 604716, DOI 10.1007/BF02566709
- Sigurđur Helgason, The Radon transform on Euclidean spaces, compact two-point homogeneous spaces and Grassmann manifolds, Acta Math. 113 (1965), 153–180. MR 172311, DOI 10.1007/BF02391776
Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 104 (1988), 885-886
- MSC: Primary 58G25; Secondary 53C35
- DOI: https://doi.org/10.1090/S0002-9939-1988-0964869-9
- MathSciNet review: 964869