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On eigen-values of Laplacian and curvature of Riemannian manifold. (English) Zbl 0237.53040


MSC:

53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.)
53C20 Global Riemannian geometry, including pinching
35P05 General topics in linear spectral theory for PDEs
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References:

[1] M. BERGER, Le spectre des varietes riemanniennes, Rev. Roum. Math, pure et Appl, XI(1968), 915-931. · Zbl 0181.49603
[2] M. OBATA, Riemannian manifolds admitting a solution of a certain system of differentia eguations, Proc. U. S. -Japan Seminar on Diff. Geo., Kyoto, (1965), 101-114. · Zbl 0144.20903
[3] H. P. MCKEAN-I. M. SINGER, Curvature and the eigenvalues of the Laplacian, Journ. Diff Geom., 1(1967), 43-69. · Zbl 0198.44301
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