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Eigenvalue comparison on Bakry-Emery manifolds
classification
🧮 math.AP
math.DG
keywords
bakry-emerycomparisoneigenvaluemanifoldsresultsharpnessasymptoticbound
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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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