6 papers
Rigidity of symplectic translating solitons
Hongbing Qiu
We obtain a rigidity result of symplectic translating solitons via the complex phase map. It indicates that we can remove the bounded second fundamental form assumption for symplec…
A Bernstein type result of translating solitons
Hongbing Qiu
By using a new test function and the gradient estimate technique, we obtain a better Bernstein type result of translating solitons.
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…
Extensions of Bonnet-Myers' type theorems with the Bakry-Emery Ricci curvature
Hongbing Qiu
In this paper, we prove the extensions of Bonnet--Myers' type theorems obtained by Calabi and Cheeger--Gromov--Taylor via Bakry--Emery Ricci curvature, which generalize the results…
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…