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math.DG2021
On pseudoholomorphic map between almost Hermitian manifolds
Chiakuei Peng, Xiaowei Xu
In this paper, we use the canonical connection instead of Levi-Civita connection to study the smooth maps between almost Hermitian manifolds, especially, the pseudoholomorphic ones…
math.DG2019
Dirichlet boundary values on Euclidean balls with infinitely many solutions for the minimal surface system
Xiaowei Xu, Ling Yang, Yongsheng Zhang
We make systematic developments on Lawson-Osserman constructions relating to the Dirichlet problem (over unit disks) for minimal surfaces of high codimension in their 1977 Acta pap…
math.DG2018
Minimal two-spheres with constant curvature in the quaternionic projective space
Jie Fei, Chiakuei Peng, Xiaowei Xu
In this paper we completely classify the homogeneous two-spheres, especially, the minimal homogeneous ones in the quaternionic projective space . According to our cl…