Gradient estimate for harmonic functions on K\"ahler manifolds
Differential Geometry
2019-09-26 v1 Analysis of PDEs
Abstract
We prove a sharp integral gradient estimate for harmonic functions on noncompact K\"ahler manifolds. As application, we obtain a sharp estimate for the bottom of spectrum of the p-Laplacian and prove a splitting theorem for manifolds achieving this estimate.
Cite
@article{arxiv.1905.02769,
title = {Gradient estimate for harmonic functions on K\"ahler manifolds},
author = {Ovidiu Munteanu and Lihan Wang},
journal= {arXiv preprint arXiv:1905.02769},
year = {2019}
}
Comments
34pages, accepted