117 citations · 284 across the 20 of their papers we have counts for
21 papers
Explicit Ricci-flat Metrics on Kummer K3 Surfaces
Jixiang Fu, Yunyang Xiao, Shing-Tung Yau
We give a convergent explicit representation of the Ricci-flat Kähler metrics supplied by the Calabi--Yau theorem in a one-parameter family of classes on a fixed Kummer K3 surface.…
The Monge-Ampère equation for -quaternionic PSH functions on a hyperKähler manifold
Jixiang Fu, Xin Xu, Dekai Zhang
We prove the existence of unique smooth solutions to the quaternionic Monge-Ampère equation for -quaternionic plurisubharmonic functions on a hyperKähler manifold and thus o…
On the global generation of higher direct images of pluricanonical bundles
Jixiang Fu, Jingcao Wu
Given a fibration between two projective manifolds and , we discuss the effective generation of the higher direct images , where is…
A new flow solving the LYZ equation in Kähler geometry
Jixiang Fu, Shing-Tung Yau, Dekai Zhang
We introduced a new flow to the LYZ equation on a compact Kähler manifold. We first show the existence of the longtime solution of the flow. We then show that under the Collins-Jac…
Extension formulae on almost complex manifolds
Jixiang Fu, Haisheng Liu
We give the extension formulae on almost complex manifolds and give decompositions of the extension formulae. As applications, we study -forms, the -Dolbeault cohomol…
Scalar curvatures in almost Hermitian geometry and some applications
Jixiang Fu, Xianchao Zhou
On an almost Hermitian manifold, we have two Hermitian scalar curvatures with respect to any canonical Hermitian connection defined by P. Gauduchon. Explicit formulas of these two…