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arXiv · 1111.4967

Eigenvalue comparison on Bakry-Emery manifolds

Ben Andrews·Lei Ni
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Abstract

We prove a comparison theorem on the first Neumann eigenvalue on Bakry-Emery manifolds. Examples are constructed to illustrate the sharpness of the result. A linear explicit lower bound is also proved. We also discuss the asymptotic sharpness of such a result.

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Ben Andrews, Lei Ni. 2011-11-21. Eigenvalue comparison on Bakry-Emery manifolds. https://arxiv.org/abs/1111.4967

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