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1. CJM 1998 (vol 50 pp. 1163)

Chen, Jingyi; Hsu, Elton P.
Gradient estimates for harmonic Functions on manifolds with Lipschitz metrics
We introduce a distributional Ricci curvature on complete smooth manifolds with Lipschitz continuous metrics. Under an assumption on the volume growth of geodesics balls, we obtain a gradient estimate for weakly harmonic functions if the distributional Ricci curvature is bounded below.

Categories:60D58, 28D05

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