K-stability on toric manifolds
Date
2008-04-29
Authors
Zhou, Bin
Zhu, Xiaohua
Journal Title
Journal ISSN
Volume Title
Publisher
American Mathematical Society
Abstract
In this note, we prove that on polarized toric manifolds the relative
K-stability with respect to Donaldson’s toric degenerations is a necessary
condition for the existence of Calabi’s extremal metrics, and we also show that
the modified K-energy is proper in the space of G₀-invariant Kähler potentials
in the case of toric surfaces which admit the extremal metrics.
Description
Keywords
K-stability, toric manifolds, extremal metrics
Citation
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Source
Proceedings of the American Mathematical Society
Type
Journal article