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A simple analytic proof of an inequality by P. Buser. (English) Zbl 0812.58093

From the abstract: “We present a simple analytic proof of the inequality of P. Buser showing the equivalence of the first eigenvalue of a compact Riemannian manifold without boundary and Cheeger’s isoperimetric constant under a lower bound on the Ricci curvature”.
Reviewer: N.Jacob (München)

MSC:

58J50 Spectral problems; spectral geometry; scattering theory on manifolds
58J35 Heat and other parabolic equation methods for PDEs on manifolds
53C20 Global Riemannian geometry, including pinching
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