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math.AP2016★ 6 cited
Expansion formula for complex Monge-Ampère equation along cone singularities
Hao Yin, Kai Zheng
In this paper, we prove the asymptotic expansion of the solutions to some singular complex Monge-Ampère equation which arise naturally in the study of the conical Kähler-Einstein m…
math.AP2014★ 8 cited
-properness of Mabuchi's -energy
Kai Zheng
Over the space of Kähler metrics associated to a fixed Kähler class, we first prove the lower bound of the energy functional , then we provide the criterions of the geo…