Xumin Jiang

activity

20142026

most citedThe Loewner-Nirenberg Problem in Cones

2 citations · 2 across the 10 of their papers we have counts for

collaborators

11 papers

math.DG2026

On the proof of Bray's conjecture

Xumin Jiang, Mingxiang Li, Zhehui Wang

Let $(M^{n}, g)$ be a connected, closed, smooth Riemannian manifold with dimension $n \geq 3$ . There exists a positive constant $ε_{n} < 1$ such that, if Ricci curvature $\operat…

math.DG2026

Bonnet-Myers type theorems for $Q$ -curvature on four-manifolds

Xumin Jiang, Mingxiang Li, Zhehui Wang

Let $(M^{4}, g)$ be a complete four-dimensional Riemannian manifold. First, if the $Q$ -curvature $Q_{g} \geq 6 k^{2}$ and scalar curvature $R_{g} \geq - 12 k$ for some positive constant $k$ , the…

math.DG2021

Asymptotics of Kähler-Einstein metrics on complex hyperbolic cusps

Xin Fu, Hans-Joachim Hein, Xumin Jiang

Let $L$ be a negative holomorphic line bundle over an $(n - 1)$ -dimensional complex torus $D$ . Let $h$ be a Hermitian metric on $L$ such that the curvature form of the dual Hermitian…

math.AP2020★ 2 cited

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…

math.DG2018

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-…

math.AP2018

Isometric embedding with nonnegative Gauss curvature under the graph setting