## Generalized Kähler Einstein metrics and uniform stability for toric Fano manifolds.(English)Zbl 1439.53047

Summary: We give a complete criterion for the existence of generalized Kähler Einstein metrics on toric Fano manifolds from view points of a uniform stability in a sense of GIT and the properness of a functional on the space of Kähler metrics.

### MSC:

 53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.) 53C55 Global differential geometry of Hermitian and Kählerian manifolds 58E11 Critical metrics 14J45 Fano varieties
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### References:

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