Translator Disclaimer
March 2010 Estimates for the Complex Monge-Ampère Equation on Hermitian and Balanced Manifolds
Valentino Tosatti, Ben Weinkove
Asian J. Math. 14(1): 19-40 (March 2010).

Abstract

We generalize Yau’s estimates for the complex Monge-Ampère equation on compact manifolds in the case when the background metric is no longer Kähler. We prove $C^∞$ a priori estimates for a solution of the complex Monge-Ampère equation when the background metric is Hermitian (in complex dimension two) or balanced (in higher dimensions), giving an alternative proof of a theorem of Cherrier. We relate this to recent results of Guan-Li.

Citation

Download Citation

Valentino Tosatti. Ben Weinkove. "Estimates for the Complex Monge-Ampère Equation on Hermitian and Balanced Manifolds." Asian J. Math. 14 (1) 19 - 40, March 2010.

Information

Published: March 2010
First available in Project Euclid: 8 October 2010

zbMATH: 1208.32034
MathSciNet: MR2726593

Subjects:
Primary: 32W20
Secondary: 32Q25, 53C55

Rights: Copyright © 2010 International Press of Boston

JOURNAL ARTICLE
22 PAGES


SHARE
Vol.14 • No. 1 • March 2010
Back to Top