Work

On the invariance of the total Monge–Ampère volume of Hermitian metrics

Year: 2024

Type: article

Abstract: In this note, we describe the Hermitian metrics that leave the total Monge–Ampère volume invariant. In particular, we give several characterizations of the Hermitian metrics which satisfy the comparison principle for the complex Monge–Ampère operator.

Source: Annales de la faculté des sciences de Toulouse Mathématiques

DOI: 10.5802/afst.1781

Author: Ionuţ Chiose

Language: English

Topic: Geometry and complex manifolds

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4404023825

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Cites: 11

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Related to: 10