97 citations
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Showing 2012 · math.DGShow all
3 papers · 2 filters
math.DG2012★ 1 cited
A splitting theorem for extremal Kaehler metrics
Vestislav Apostolov, Hongnian Huang
Based on recent work of S. K. Donaldson and T. Mabuchi, we prove that any extremal Kaehler metric in the sense of E. Calabi, defined on the product of polarized compact complex pro…
math.DG2012★ 10 cited
The global existence and convergence of the Calabi flow on
Renjie Feng, Hongnian Huang
In this note, we study the long time existence of the Calabi flow on . Assuming the uniform bound of the total energy, we establish t…
math.DG2012★ 5 cited
Convergence of the calabi flow on toric varieties and related Kaehler manifolds
Hongnian Huang
Let be a toric variety and be a normalized symplectic potential of the corresponding polytope . Suppose that the Riemannian curvature is bounded by 1 and $ \int_{\partia…