Jeffrey Streets And

نویسنده

  • GANG TIAN
چکیده

We define an elliptic equation for Hermitian metrics which is related to the Einstein condition. Solutions to this equation are closely related to Kähler-Einstein metrics, and are automatically Kähler-Einstein when a certain non-positive condition is satisfied by c1(M). Given this, a natural flow equation arises taking Hermitian metrics to Kähler metrics. We prove short time existence and regularity results for this flow, as well as a stability result near Kähler-Einstein metrics.

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تاریخ انتشار 2009