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arXiv · 2201.04621

On partial uniqueness of complete non-compact Ricci flat metrics

Yuanqi Wang
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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 $C^{1,1}$ solution to Monge-Ampere equation. This does not a priori require any decay of the solution.

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Yuanqi Wang. 2022-01-12. On partial uniqueness of complete non-compact Ricci flat metrics. https://arxiv.org/abs/2201.04621

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