On partial uniqueness of complete non-compact Ricci flat metrics
Differential Geometry
2022-01-25 v2
Abstract
Using techniques for Caccioppoli inequality, on a fairly general class of complete non-compact K\"ahler manifolds with sub-quadratic volume growth, we show uniqueness of bounded solution to Monge-Ampere equation. This does not a priori require any decay of the solution.
Keywords
Cite
@article{arxiv.2201.04621,
title = {On partial uniqueness of complete non-compact Ricci flat metrics},
author = {Yuanqi Wang},
journal= {arXiv preprint arXiv:2201.04621},
year = {2022}
}
Comments
References are added. Presentation is improved. The proof of Corollary 1.3 SOB(2)-case is revised. More explanations are added. 8 pages