Article contents
Gradient Estimates for Harmonic Functions on Manifolds With Lipschitz Metrics
Published online by Cambridge University Press: 20 November 2018
Abstract
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.
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 1998
References
- 2
- Cited by