Xi Zhang

activity

20052023

most citedCompactness theorems of gradient Ricci solitons

34 citations · 123 across the 37 of their papers we have counts for

collaborators

Showing 2010Show all

3 papers · 1 filter

math.DG2010★ 4 cited

Regularity estimates of solutions to complex Monge-Ampère equations on Hermitian manifolds

Xi Zhang, XiangWen Zhang

In this paper, we obtain the Bedford-Taylor interior $C^{2}$ estimate and local Calabi $C^{3}$ estimate for the solutions to complex Monge-Ampère equations on Hermitian manifolds.

math.DG2010★ 9 cited

Energy properness and Sasakian-Einstein metrics

Xi Zhang

In this paper, we show that the existence of Sasakian-Einstein metrics is closely related to the properness of corresponding energy functionals. Under the condition that admitting…

math.CV2010★ 4 cited

The $C^{2, α}$ estimate of complex Monge-Ampere equation

Slawomir Dinew, Xi Zhang, Xiangwen Zhang

We prove that any $C^{1, 1}$ solution to complex Monge-Ampère equation $d e t (u_{i j ˉ}) = f$ with $0 < f \in C^{α}$ is in $C^{2, α}$ for $α \in (0, 1)$ .

Regularity estimates of solutions to complex Monge-Ampère equations on Hermitian manifolds

Energy properness and Sasakian-Einstein metrics

The C2,α estimate of complex Monge-Ampere equation

The $C^{2, α}$ estimate of complex Monge-Ampere equation