activity
20162024
most citedNew area-minimizing Lawson-Osserman cones

14 citations · 17 across the 10 of their papers we have counts for

collaborators

10 papers

math.CV2024

On the residual Monge-Ampère mass of plurisubharmonic functions, III: uniformly directional Lipschitz

Weiyong He, Long Li, Xiaowei Xu

The purpose of this article is to study the (residual) Monge-Ampère mass of a plurisubharmonic function with an isolated unbounded locus. A general decomposition formula is obtaine…

math.DG2023

Compactness of conformal Chern-minimal surfaces in Hermitian surface

Xiaowei Xu

The Chern-minimal surfaces in Hermitian surface play a similar role as minimal surfaces in Kähler surface (see \cite{[PX-21]}) from the viewpoint of submanifolds. This paper studie…

math.AG2023★ 2 cited

On area-minimizing Pfaffian varieties

Hongbin Cui, Xiaoxiang Jiao, Xiaowei Xu

There are two significant families of minimal real matrix varieties: determinantal varieties and skew-symmetric determinantal varieties, the later ones are also known as Pfaffian v…

math.DG2021

On Chern minimal surfaces in Hermitian surfaces

Chiakuei Peng, Xiaowei Xu

In this paper we introduce the Chern minimal surface in Hermitian surfaces by using the Chern connection, and we show that it only has isolated complex and anticomplex points for a…

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.RA2020

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…