• INVARIANT EINSTEIN METRICS ON FULL FLAG MANIFOLDS

Yu Wang, Tianzeng Li*

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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