2 citations · 2 across the 10 of their papers we have counts for
11 papers
On the proof of Bray's conjecture
Xumin Jiang, Mingxiang Li, Zhehui Wang
Let be a connected, closed, smooth Riemannian manifold with dimension . There exists a positive constant such that, if Ricci curvature $\operat…
Bonnet-Myers type theorems for -curvature on four-manifolds
Xumin Jiang, Mingxiang Li, Zhehui Wang
Let be a complete four-dimensional Riemannian manifold. First, if the -curvature and scalar curvature for some positive constant , the…
Asymptotics of Kähler-Einstein metrics on complex hyperbolic cusps
Xin Fu, Hans-Joachim Hein, Xumin Jiang
Let be a negative holomorphic line bundle over an -dimensional complex torus . Let be a Hermitian metric on such that the curvature form of the dual Hermitian…
The Loewner-Nirenberg Problem in Cones
Qing Han, Xumin Jiang, Weiming Shen
We study asymptotic behaviors of solutions to the Loewner-Nirenberg problem in finite cones and establish optimal asymptotic expansions in terms of the corresponding solutions in i…
Asymptotic expansions of complete Kähler-Einstein metrics with finite volume on quasi-projective manifolds
Xumin Jiang, Yalong Shi
We give an elementary proof to the asymptotic expansion formula of Rochon-Zhang for the unique complete Kähler-Einstein metric of Cheng-Yau, Kobayashi, Tian-Yau and Bando on quasi-…
Isometric embedding with nonnegative Gauss curvature under the graph setting
Xumin Jiang
We study the regularity of the isometric embedding X: (B(O,r),g) -> (R3, gcan) of a 2-ball with nonnegatively curved C4 metric into R3. Under the assumption that X can be expressed…
Boundary expansion for the Loewner-Nirenberg problem in domains with conic singularities
Xumin Jiang
We study asymptotic behaviors of solutions to the Loewner-Nirenberg problem in domains with conic singularities and establish asymptotic expansions with respect to two normal direc…
Asymptotics and convergence for the complex Monge-Ampere equation
Qing Han, Xumin Jiang
We study the asymptotics of complete Kaehler-Einstein metrics on strictly pseudoconvex domains in C^n and derive a convergence theorem for solutions to the corresponding Monge-Ampe…
Optimal Regularity of Constant Graphs in Hyperbolic Space
Xumin Jiang, Ling Xiao
Inspired by [6, 7], we study the boundary regularity of constant curvature hypersurfaces in the hyperbolic space , which have prescribed asymptotic boundary at in…
The convergence of boundary expansions and the analyticity of minimal surfaces in the hyperbolic space
Qing Han, Xumin Jiang
We study expansions near the boundary of solutions to the Dirichlet problem for minimal graphs in the hyperbolic space and prove the local convergence of such expansions if the bou…
Boundary regularity of minimal graphs in the hyperbolic space
Qing Han, Xumin Jiang
F.-H. Lin studied minimal graphs of the Dirichlet problem in the hyperbolic space and proved that any such minimal graph has the same global regularity as the boundary if the dimen…