4 papers
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…
Cohomological invariants of algebraic operads, I
Yan-Hong Bao, Yan-Hua Wang, Xiao-Wei Xu +3
We study various invariants, such as cohomology groups, derivations, automorphisms and infinitesimal deformations, of algebraic operads and show that , $\mathcal{C}c…
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…
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…