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Application of coupling methods to the Neumann eigenvalue problem. (English) Zbl 0791.58113

By using coupling methods, some lower bounds are obtained for the first Neumann eigenvalue on Riemannian manifolds. This method is new and the results improve some known estimates. An example shows that our estimates can be sharp.

MSC:

58J65 Diffusion processes and stochastic analysis on manifolds
58C50 Analysis on supermanifolds or graded manifolds
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References:

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