Hermitian conformal classes and almost Kahler structures on 4-manifolds

被引：11
|
作者：
Apostolov, V
Draghici, T
机构：
[1] Bulgarian Acad Sci, Inst Math & Informat, BU-1113 Sofia, Bulgaria
[2] NE Illinois Univ, Dept Math, Chicago, IL 60625 USA
来源：
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 1999年 / 11卷 / 02期
关键词：
almost Kahler structures; Hermitian conformal classes; Yamabe constants; symplectic forms;
D O I：
10.1016/S0926-2245(99)00033-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It is shown that on most compact complex surfaces which admit symplectic forms, each Hermitian conformal class contains almost Kahler metrics. Results about the number of symplectic forms compatible to a given metric are obtained. As applications, alternative proofs for results of LeBrun on the Yamabe constants of Hermitian conformal classes are given, as well as some answers to a question of Blair about the isometries of almost Kahler metrics.
引用
收藏
页码：179 / 195
页数：17
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