Li, Peter; Treibergs, Andrejs E. Pinching theorem for the first eigenvalue on positively curved four- manifolds. (English) Zbl 0496.53032 Invent. Math. 66, 35-38 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 4 Documents MSC: 53C20 Global Riemannian geometry, including pinching 58J50 Spectral problems; spectral geometry; scattering theory on manifolds Keywords:first eigenvalue of the Laplacian; four-sphere; gradient estimates for eigenfunctions; pinching theorem Citations:Zbl 0496.53031; Zbl 0341.53029 PDF BibTeX XML Cite \textit{P. Li} and \textit{A. E. Treibergs}, Invent. Math. 66, 35--38 (1982; Zbl 0496.53032) Full Text: DOI EuDML OpenURL References: [1] Grove, K., Shiohama, K.: A generalized sphere theorem. Ann. of Math.106, 201-211 (1977) · Zbl 0357.53027 [2] Li, P., Yau, S.T.: Estimates of eigenvalues of a compact Riemannian manifold. Proc. Sym. Pure Math.36, 205-239 (1980) · Zbl 0441.58014 [3] Li, P., Zhong, J.Q.: Pinching theorem for the first eigenvalue on positively curved manifolds. Invent. Math. In press (1981) · Zbl 0496.53031 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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.