Hermitian conformal classes and almost Kähler structures on 4-manifolds
type: Item
instance of: scholarly article
title: Hermitian conformal classes and almost Kähler structures on 4-manifolds
zbMATH Open document ID: 0978.53117
DOI: 10.1016/S0926-2245(99)00033-9
author: Tedi Draghici
author: Vestislav Apostolov
published in: Differential Geometry and its Applications
publication date: 2002-01-25T00:00:00Z
review text: The authors prove that on most compact complex surfaces which admit symplectic forms, each Hermitian conformal class contains almost Kähler metrics. The number of symplectic forms compatible with a given metric can also be described. For precise formulations of the results, the reader should see the original paper, where many motivations are also presented. As a consequence, one gets for instance the following: On blow-ups of primary Kodaira surfaces, Hermitian conformal classes do not contain almost Kähler metrics. There are also other applications. Among others, alternative proofs of the results of \textit{C. LeBrun} [Commun. Anal. Geom. 5, 535-555 (1997; Zbl 0901.53028)] about the Yamabe constants of Hermitian conformal classes are given. Moreover, some particular answers to a question of \textit{D. E. Blair} [Differ. Geom. Appl., Proc. Conf. Dubrovnik 1988, 49-58 (1989; Zbl 0691.53024)] concerning isometries of almost Kähler metrics are stated.
reviewed by: Zbigniew Olszak
Mathematics Subject Classification ID: 53C55
Mathematics Subject Classification ID: 53C15
Mathematics Subject Classification ID: 53D05
zbMATH DE Number: 1367714
zbMATH Keywords: almost Kähler structure
zbMATH Keywords: Hermitian conformal class
zbMATH Keywords: Yamabe metric
Wikidata QID: Q115337405
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1367714