New Homogeneous Einstein Metrics on SO(7)/T |
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Authors: | Yu WANG Tianzeng LI Guosong ZHAO |
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Affiliation: | 1.School of Science,Sichuan University of Science and Engineering, Zigong,Sichuan,China;2.Department of Mathematics,Sichuan University,Chengdu,China |
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Abstract: | 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 Kähler Einstein metric and four are non-Kähler Einstein metrics. |
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Keywords: | Generalized flag manifold Einstein metric Ricci tensor Isotropyrepresentation Isometry |
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