11 citations · 40 across the 13 of their papers we have counts for
13 papers
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…
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…
A Weil-Petersson Type Metric on the Space of Fano Kaehler-Ricci Solitons
Huai-Dong Cao, Xiaofeng Sun, Yingying Zhang
In this paper we define a Weil-Petersson type metric on the space of shrinking Kaehler-Ricci solitons and prove a necessary and sufficient condition on when it is independent of th…
On Deformations of Fano Manifolds
Huai-Dong Cao, Xiaofeng Sun, Shing-Tung Yau +1
In this paper we provide new necessary and sufficient conditions for the existence of Kähler-Einstein metrics on small deformations of a Fano Kähler-Einstein manifold. We also show…
Curvatures of moduli space of curves and applications
Kefeng Liu, Xiaofeng Sun, Xiaokui Yang +1
In this paper, we investigate the geometry of the moduli space of curves by using the curvature properties of direct image sheaves of vector bundles. We show that the moduli space…
On the structure of gradient Yamabe solitons
Huai-Dong Cao, Xiaofeng Sun, Yingying Zhang
We show that every complete nontrivial gradient Yamabe soliton admits a special global warped product structure with a one-dimensional base. Based on this, we prove a general class…