{ "id": "1609.05945", "version": "v1", "published": "2016-09-19T21:22:37.000Z", "updated": "2016-09-19T21:22:37.000Z", "title": "On the invariance of the total Monge-Ampere volume of Hermitian metrics", "authors": [ "Ionut Chiose" ], "categories": [ "math.DG", "math.CV" ], "abstract": "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", "revisions": [ { "version": "v1", "updated": "2016-09-19T21:22:37.000Z" } ], "analyses": { "subjects": [ "53B35" ], "keywords": [ "hermitian metrics", "total monge-ampere volume invariant", "invariance", "complex monge-ampere operator", "comparison principle" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }