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arxiv: 1609.05945 · v1 · pith:LURXAOPUnew · submitted 2016-09-19 · 🧮 math.DG · math.CV

On the invariance of the total Monge-Ampere volume of Hermitian metrics

classification 🧮 math.DG math.CV
keywords hermitianmetricsmonge-amperetotalvolumecharacterizationscomparisoncomplex
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In this note, we describe the Hermitian metrics that leave the total Monge-Ampere volume invariant. In particular, we give several characterizations of the Hermitian metrics which satisfy the comparison principle for the complex Monge-Ampere operator

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