The Monge–Ampère equation for non-integrable almost complex structures

Jianchun Chu; Valentino Tosatti; Ben Weinkove

doi:10.4171/jems/878

JournalsjemsVol. 21, No. 7pp. 1949–1984

The Monge–Ampère equation for non-integrable almost complex structures

Jianchun Chu
Peking University, Beijing, China
- MathSciNet
- zbMATH Open
Valentino Tosatti
Northwestern University, Evanston, USA
- zbMATH Open
Ben Weinkove
Northwestern University, Evanston, USA

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Abstract

We show existence and uniqueness of solutions to the Monge–Ampère equation on compact almost complex manifolds with non-integrable almost complex structure.

Cite this article

Jianchun Chu, Valentino Tosatti, Ben Weinkove, The Monge–Ampère equation for non-integrable almost complex structures. J. Eur. Math. Soc. 21 (2019), no. 7, pp. 1949–1984

DOI 10.4171/JEMS/878