Gradient estimates for positive smooth f-harmonic functions |
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| Authors: | Chen Li Chen Wenyi |
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| Affiliation: | 1. Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China;2. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China |
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| Abstract: | For Riemannian manifolds with a measure, we study the gradient estimates for positive smooth f-harmonic functions when the ∞-Bakry-Emery Ricci tensor and Ricci tensor are bounded from below, generalizing the classical ones of Yau (i.e., when f is constant). |
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| Keywords: | gradient estimate f-harmonic function Bakry-Emery Ricci tensor |
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