摘要
The authors compute non-zero structure constants of the full flag manifold M = SO(7)/T with nine isotropy summands,then construct the Einstein equations.With the help of computer they get all the forty-eight positive solutions(up to a scale) for SO(7)/T,up to isometry there are only five G-invariant Einstein metrics,of which one is Khler Einstein metric and four are non-Khler Einstein metrics.
The authors compute non-zero structure constants of the full flag manifold M = SO（7）/T with nine isotropy summands, then construct the Einstein equations. With the help of computer they get all the forty-eight positive solutions （up to a scale ） for SO（7）/T, up to isometry there are only five G-invariant Einstein metrics, of which one is K^hler Einstein metric and four are non-Kahler Einstein metrics.
基金
supported by the National Natural Science Foundation of China(Nos.11501390,61573010)
the Fund of Sichuan University of Science and Engineering(No.2015RC10)
the Opening Project of Sichuan Province University Key Laboratory of Bridge Non-destruction Detecting and Engineering Computing(No.2014QZJ03)
the Opening Project of Key Laboratory of Higher Education of Sichuan Province for Enterprise Informationalization and Internet of Things(No.2016WYJ04)
