On partial uniqueness of complete non-compact Ricci flat metrics

Author:

Wang Yuanqi

Abstract

Using techniques for Caccioppoli inequality, on a fairly general class of complete non-compact Kähler manifolds with sub-quadratic volume growth, we show uniqueness of boundedC1,1C^{1,1}solution to Monge-Ampere equation. This does not a priori require any decay of the solution.

Funder

University of Kansas

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

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