Extremal metrics on toric manifolds and homogeneous toric bundles
An-Min Li, Zhao Lian, Li Sheng

TL;DR
This paper proves the Yau-Tian-Donaldson conjecture for toric manifolds and homogeneous toric bundles, establishing a key link between geometric stability and extremal metrics.
Contribution
It provides a proof of the conjecture in the context of toric geometry, extending the understanding of extremal metrics on these manifolds.
Findings
Confirmed the conjecture for toric manifolds
Extended results to homogeneous toric bundles
Strengthened the link between stability and extremal metrics
Abstract
In this paper, we prove the Yau-Tian-Donaldson conjecture of the filtration version for toric manifolds and homogeneous toric bundles.
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