Abstract:
In this talk, I will present some rigidity results for solutions of the degenerate complex Monge-Ampere equations. I will also present some rigidity results for the potential function of Kahler-Einstein metric. Finally, I will discuss plurisubharmoni- city for the solution of Fefferman equations and its connection to the bottom of Spectrum of the Laplace-Beltrami operator in Kahler-Einstein metric.
 
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