Sakai, Takashi On eigen-values of Laplacian and curvature of Riemannian manifold. (English) Zbl 0237.53040 Tohoku Math. J., II. Ser. 23, 589-603 (1971). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 46 Documents MSC: 53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.) 53C20 Global Riemannian geometry, including pinching 35P05 General topics in linear spectral theory for PDEs PDFBibTeX XMLCite \textit{T. Sakai}, Tôhoku Math. J. (2) 23, 589--603 (1971; Zbl 0237.53040) Full Text: DOI 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 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.