arXiv subjects

Xiufen Chang

Publications and source records attributed to Xiufen Chang.

2 recordsLinked to original sources

arXiv2015

Rigidity theorems of the space-like $λ$-hypersurfaces in the Lorentzian space $\mathbb R^{n+1}_1$

In this paper, we study complete space-like $λ$-hypersurfaces in the Lorentzian space $\mathbb R^{n+1}_1$. As the result, we prove some rigidity theorems for these hypersurfaces including the complete space-like self-shrinkers in $\bbr^{n+1}_1$.

math.DG↗

arXiv2015

A rigidity theorem of $ξ$-submanifolds in $\mathbb{C}^{2}$

In this paper, we first introduce the concept of $ξ$-submanifold which is a natural generalization of self-shrinkers for the mean curvature flow and also an extension of $λ$-hypersurfaces to the higher codimension. Then, as the main result, we prove a rigidity theorem for Lagrangian $ξ$-submanifold in the complex $2$-plane $\bbc^2$.

math.DG↗