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Pinching theorem for the first eigenvalue on positively curved four- manifolds. (English) Zbl 0496.53032

MSC:
53C20 Global Riemannian geometry, including pinching
58J50 Spectral problems; spectral geometry; scattering theory on manifolds
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References:
[1] Grove, K., Shiohama, K.: A generalized sphere theorem. Ann. of Math.106, 201-211 (1977) · Zbl 0357.53027 · doi:10.2307/1971164
[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
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