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The kähler-ricci flow and the ¯∂ operator on vector fields.
| Content Provider | CiteSeerX |
|---|---|
| Author | Sturm, Jacob Song, Jian Weinkove, Ben Phong, D. H. |
| Abstract | The limiting behavior of the normalized Kähler-Ricci flow for manifolds with positive first Chern class is examined under certain stability conditions. First, it is shown that if the Mabuchi K-energy is bounded from below, then the scalar curvature converges uniformly to a constant. Second, it is shown that if the Mabuchi K-energy is bounded from below and if the lowest positive eigenvalue of the ¯ ∂ † ¯ ∂ operator on smooth vector fields is bounded away from 0 along the flow, then the metrics converge exponentially fast in C∞ to a Kähler-Einstein metric. |
| File Format | |
| Access Restriction | Open |
| Subject Keyword | Positive First Chern Class Smooth Vector Field Scalar Curvature Positive Eigenvalue Normalized Hler-ricci Flow Mabuchi K-energy Hler-ricci Flow Operator Vector Field Certain Stability Condition |
| Content Type | Text |
