Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8896596 | Journal of Functional Analysis | 2018 | 50 Pages |
Abstract
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 for the properness of K-energy on the space of KÃK-invariant Kähler potentials. In particular, it turns to give an alternative proof of Delcroix's theorem for the existence of Kähler-Einstein metrics in case of Fano manifolds M. We also study the existence of minimizers of K-energy for general Kähler classes of M.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Yan Li, Bin Zhou, Xiaohua Zhu,