In this work, we obtain a existence criteria for the longtime Kähler-Ricci flow solution. Using the existence result, we generalize a result by Wu-Yau on the existence of Kähler Einstein metric to the case with possibly unbounded curvature. Moreover, the Kähler Einstein metric with negative scalar curvture must be unique up to scaling.
|Original language||English (US)|
|State||Published - May 31 2018|
- Holomorphic sectional curvature
- Kähler Einstein metric
- Kähler manifold
- Kähler-Ricci flow
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