no. 3
On the invariance of the total Monge–Ampère volume of Hermitian metrics
Chiose, Ionuţ1
1Institute of Mathematics of the Romanian Academy, P.O. Box 1-764, Bucharest 014700, Romania
Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 33 (2024) no. 3, pp. 575-579

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.

Dans cette note, nous décrivons les métriques hermitiennes qui laissent le volume total de Monge–Ampère invariant, et nous donnons plusieurs caractérisations des métriques hermitiennes qui satisfont le principe de comparaison pour l’opérateur complexe de Monge–Ampère.

Reçu le :
Accepté le :
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DOI : 10.5802/afst.1781
Keywords: Hermitian metrics, Monge–Ampère operator, Comparison principle

Chiose, Ionuţ  1

1 Institute of Mathematics of the Romanian Academy, P.O. Box 1-764, Bucharest 014700, Romania
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits
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Chiose, Ionuţ. On the invariance of the total Monge–Ampère volume of Hermitian metrics. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 33 (2024) no. 3, pp. 575-579. doi: 10.5802/afst.1781

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