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math.DG2026
On the structure of complete -solitons
Haozhao Li, Yuanqing Ma, Kai Zheng
In this work, we establish compactness theorems for complete gradient -solitons under the assumptions of a lower bound on the scalar curvature and a broad growth condition on…
math.DG2025
Existence of twisted Calabi flow and deformation from the -flow to Calabi flow
Jie He, Haozhao Li
In this paper, we study a family of twisted Calabi flows connecting the -flow and Calabi flow on a compact Kähler manifold with a constant scalar curvature (cscK) metric. We sh…
math.DG2025
Twisted Calabi functional and twisted Calabi flow
Jie He, Haozhao Li
This paper investigates the twisted Calabi functional and the associated twisted Calabi flow on compact Kähler manifolds. Our main contributions are threefold: first, we establish…