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

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.

Authors

Publication Details

Journal
Annales de la faculté des sciences de Toulouse Mathématiques
Published
2024-11-04
DOI
https://doi.org/10.5802/afst.1781
Primary Topic
Geometry and complex manifolds
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

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

Ionuţ Chiose
Annales de la faculté des sciences de Toulouse Mathématiques
Geometry and complex manifolds
article

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

Ionuţ Chiose
article en

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.

Annales de la faculté des sciences de Toulouse MathématiquesVol. 33(3)
Openalex Percentile: Top 70%
Geometry and complex manifolds
DOIOpen Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

On the invariance of the total Monge–Ampère volume of Hermitian metrics — Ionuţ Chiose · Annales de la faculté des sciences de Toulouse Mathématiques (2024) | TGRS Research Map | TGRS