Spectra of domains in compact manifolds. (English) Zbl 0392.58016


58J50 Spectral problems; spectral geometry; scattering theory on manifolds
53C20 Global Riemannian geometry, including pinching
65N25 Numerical methods for eigenvalue problems for boundary value problems involving PDEs
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
Full Text: DOI


[1] Chavel, I., Riemannien Symmetric Spaces of Rank One (1972), Dekker: Dekker New York
[2] Helgason, S., Differential Geometry and Symmetric Spaces (1962), Academic Press: Academic Press New York · Zbl 0122.39901
[3] Hobson, E. W., The Theory of Spherical and Elliposoidal Harmonics (1931), Cambridge University Press: Cambridge University Press London · Zbl 0004.21001
[4] Narasimhan, R., Analysis on Real and Complex Manifolds (1968), North-Holland: North-Holland Amsterdam · Zbl 0188.25803
[5] Uhlenbeck, K., Eigenfunctions of Laplace operators, Bull. Amer. Math. Soc., 78, 1073-1076 (1972) · Zbl 0275.58003
[6] Weinstein, A., Distance spheres in complex projective spaces, (Proc. Amer. Math. Soc., 39 (1973)), 649-650 · Zbl 0243.53040
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