4 citations · 9 across the 9 of their papers we have counts for
5 papers · 1 filter
A new characterization of the Calabi torus in the unit sphere
Yong Luo, Linlin Sun, Jiabin Yin
In this paper, we study the rigidity theorem of closed minimally immersed Legendrian submanifolds in the unit sphere. Utilizing the maximum principle, we obtain a new characterizat…
A remark on a Bernstein type result for -hypersurfaces
Hongbing Qiu, Linlin Sun
We proved that any complete hypersurface in the Euclidean space whose Gauss image is contained in an open hemisphere has to be proper. As applications, we derive…
Rigidity theorems of spacelike entire self-shrinking graphs in the pseudo-Euclidean space
Hongbing Qiu, Linlin Sun
In this paper, we firstly establish a new volume growth estimate for spacelike entire graphs in the pseudo-Euclidean space . Then by using this volume growth es…
Complete Willmore Legendrian surfaces in are minimal Legendrian surfaces
Yong Luo, Linlin Sun
In this paper we continue to consider Willmore Legendrian surfaces and csL Willmroe surfaces in , notions introduced by Luo in \cite{Luo}. We will prove that every co…
Mean curvature flow of surfaces in a hyperkähler -manifold
Hongbing Qiu, Linlin Sun
In this paper, we firstly prove that every hyper-Lagrangian submanifold in a hyperkähler -manifold is a complex Lagrangian submanifold. Secondly, we demonstrat…