Minimizing weak solutions for calabi's extremal metrics on toric manifolds

2006/11/04 by Bin Zhou, Zhou, Bin, Xiaohua Zhu +1
Mathematics · Medicine · Social Sciences · #32J15 #53C25 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometry and complex manifolds #Pelvic and Acetabular Injuries #Vietnamese History and Culture Studies

paper · pdf · doi:10.48550/arxiv.math/0611099

openalex publication_date 2006/11/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we discuss a Donaldson's version of the modified K-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 modified K-energy.

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