2 papers
math.DG2026
The Hermitian-Yang-Mills Iteration on Stable Bundles
Huai-Dong Cao, Xiaofeng Sun, Yingying Zhang
In this paper, based on recent results for the prescribed Hermitian-Yang-Mills (HYM) tensor and its twisted variants by Fan-Wang-Yang-Yau, we provide a dynamical construction of He…
math.DG2025
Hodge Laplacian and geometry of Kuranishi family of Fano manifolds
Akito Futaki, Xiaofeng Sun, Yingying Zhang
We first obtain eigenvalue estimates for the Hodge Laplacian on Fano manifolds, which follow from the Bochner-Kodaira formula. Then we apply it to study the geometry of the Kuranis…