9 citations · 17 across the 7 of their papers we have counts for
4 papers · 1 filter
Mabuchi metrics and properness of the modified DING functional
Yan Li, Bin Zhou
In this paper, we study Mabuchi metrics on Fano manifolds. We prove that Mabuchi metrics exist if the modified Ding functional is proper modulo a reductive subgroup of its automorp…
K-energy on polarized compactifications of Lie groups
Yan Li, Bin Zhou, Xiaohua Zhu
In this paper, we study Mabuchi's K-energy on a compactification M of a reductive Lie group G, which is a complexification of its maximal compact subgroup K. We give a criterion fo…
Minimizing weak solutions for calabi's extremal metrics on toric manifolds
Bin Zhou, Xiaohua Zhu
In this paper, we discuss a Donaldson's version of the modified -energy associated to the Calabi's extremal metrics on toric manifolds and prove the existence of the weak soluti…
Relative -stability and modified -energy on toric manifolds
Bin Zhou, Xiaohua Zhu
In this paper, we discuss the relative -stability and the modified -energy associated to the Calabi's extremal metric on toric manifolds. We give a sufficient condition in th…