Minimizing weak solutions for calabi’s extremal metrics on toric manifolds
Minimizing weak solutions for calabi’s extremal metrics on toric manifolds
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DOI：
10.1007/s00526-007-0136-3
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发表时间：
2006-11
影响因子：
2.1
通讯作者：
Bin Zhou;Xiaohua Zhu
中科院分区：
文献类型：
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作者：
Bin Zhou;Xiaohua Zhu
本文讨论了环面流形上Calabi极值度量的修正K-能量的唐纳森形式，证明了极小修正K-能量的凸函数意义下极值度量弱解的存在性.
In this paper, we discuss Donaldson’s version of the modifiedK-energy associated to the Calabi’s extremal metrics on toric manifolds and prove the existence of the weak solution for extremal metrics in the sense of convex functions which minimizes the modifiedK-energy.