Canadian Mathematical Society
  location:  PublicationsjournalsCJM
Abstract view

Gradient estimates for harmonic Functions on manifolds with Lipschitz metrics

Open Access article
 Printed: Dec 1998
  • Jingyi Chen
  • Elton P. Hsu
Format:   HTML   LaTeX   MathJax   PDF   PostScript  


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.
MSC Classifications: 60D58, 28D05 show english descriptions unknown classification 60D58
Measure-preserving transformations
60D58 - unknown classification 60D58
28D05 - Measure-preserving transformations

© Canadian Mathematical Society, 2018 :