10 citations · 45 across the 28 of their papers we have counts for
11 papers · 1 filter
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…
Residue formula for an obstruction to Coupled Kähler-Einstein metrics
Akito Futaki, Yingying Zhang
We obtain a residue formula for an obstruction to the existence of coupled Kähler-Einstein metrics described by Futaki-Zhang. We apply it to an example studied separately by Futaki…
Coupled Sasaki-Ricci solitons
Akito Futaki, Yingying Zhang
Motivated by the study of coupled Kähler-Einstein metrics by Hultgren and Witt Nyström and coupled Kähler-Ricci solitons by Hultgren, we study in this paper coupled Sasaki-Einstein…
A Liouville-type theorem and Bochner formula for harmonic maps into metric spaces
Brian Freidin, Yingying Zhang
We study analytic properties of harmonic maps from Riemannian polyhedra into CAT() spaces for . Locally, on each top-dimensional face of the domain, this amounts to…
Existence of harmonic maps into CAT(1) spaces
Christine Breiner, Ailana Fraser, Lan-Hsuan Huang +3
Let where is a compact Riemann surface, is a compact locally CAT(1) space, and is defined as in Korevaar-Schoen. We use the tec…
Regularity of Harmonic Maps from Polyhedra to CAT(1) Spaces
Christine Breiner, Ailana Fraser, Lan-Hsuan Huang +3
We determine regularity results for energy minimizing maps from an -dimensional Riemannian polyhedral complex into a CAT(1) space. Provided that the metric on is Lipschi…
Inequalities for eigenvalues of the weighted Hodge Laplacian
Daguang Chen, Yingying Zhang
In this paper, we obtain "universal" inequalities for eigenvalues of the weighted Hodge Laplacian on a compact self-shrinker of Euclidean space. These inequalities generalize the Y…
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…