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Monge–Ampère Operator on Four Dimensional Almost Complex Manifolds

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Abstract

We define the Monge–Ampère operator \({(i\partial {\bar{\partial }}u)^{2}}\) for continuous J-plurisubharmonic functions on four dimensional almost complex manifolds.

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Acknowledgments

The author would like to express his gratitude to Z. Błocki for helpful discussions and advice during the work on this paper. The author was partially supported by the NCN Grant 2011/01/D/ST1/04192.

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Correspondence to Szymon Pliś.

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Pliś, S. Monge–Ampère Operator on Four Dimensional Almost Complex Manifolds. J Geom Anal 26, 2503–2518 (2016). https://doi.org/10.1007/s12220-015-9635-1

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  • DOI: https://doi.org/10.1007/s12220-015-9635-1

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