• INVARIANT EINSTEIN METRICS ON FULL FLAG MANIFOLDS
Abstract
We compute non-zero structure constants of generalized flag manifolds . Then construct the Einstein equation, using the command Nsolve in mathematics we get all the positive solutions (up to a scale) for , where one is Kähler Einstein metrics (up to isotropy) and the other two are non- Kähler Einstein metrics (up to isotropy).
Keywords
Einstein metric; Ricc tensor; generalized flag manifold; isotropy representation.
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