期刊论文详细信息
JOURNAL OF GEOMETRY AND PHYSICS 卷:70
Extremal Kahler metrics and Bach-Merkulov equations
Article
Koca, Caner
关键词: Einstein metrics;    Extremal Miller metrics;    Bach tensor;    Weyl curvature;    Einstein-Maxwell equations;   
DOI  :  10.1016/j.geomphys.2013.03.025
来源: Elsevier
PDF
【 摘 要 】

In this paper, we study a coupled system of equations on oriented compact 4-manifolds which we call the Bach-Merkulov equations. These equations can be thought of as the conformally invariant version of the classical Einstein-Maxwell equations. Inspired by the work of C. LeBrun on Einstein-Maxwell equations on compact Kahler surfaces, we give a variational characterization of solutions to Bach-Merkulov equations as critical points of the Weyl functional. We also show that extremal Kahler metrics are solutions to these equations, although, contrary to the Einstein-Maxwell analogue, they are not necessarily minimizers of the Weyl functional. We illustrate this phenomenon by studying the Calabi action on Hirzebruch surfaces. (C) 2013 Elsevier B.V. All rights reserved.

【 授权许可】

Free   

【 预 览 】
附件列表
Files Size Format View
10_1016_j_geomphys_2013_03_025.pdf 384KB PDF download
  文献评价指标  
  下载次数:2次 浏览次数:1次