Calabi对称与连续性方法
Calabi Symmetry and the Continuity Method
摘要：
研究了广义Hirzebruch曲面上La Nave和Tian的连续性方法的收敛性和曲率爆破。证明了格罗莫夫-豪斯多夫收敛与Kahler-里奇流的收敛相似，并得到了曲率估计.我们还表明，一般的解决方案，连续性方法要么存在或所有的时间，或数量曲率爆炸。已知Kahler-里奇流表现出这种行为。
英文摘要：
We study the convergence and curvature blow up of La Nave and Tian's continuity method on a generalised Hirzebruch surface. We show that the Gromov-Hausdorff convergence is similar to that of the Kahler-Ricci flow and obtain curvature estimates. We also show that a general solution to the continuity method either exist or all times, or the scalar curvature blows up. This behavior is known to be exhibited by the Kahler-Ricci flow.
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