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1. CJM 1998 (vol 50 pp. 1163)
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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 |