3 citations · 6 across the 5 of their papers we have counts for
6 papers
A topological sphere theorem for pinched Legendrian submanifolds
Qing Cui, Linlin Sun
Let be a closed simply connected Legendrian submanifold of , where , and let and denote its se…
A curvature characterization of the Cartan minimal hypersurface in
Qing Cui
Lawson showed that a non-totally geodesic Einstein minimal hypersurface in is congruent to the Clifford hypersurface $\mathbb S^2(1/\sqrt2)\times \mathbb S^2(1/\sqrt2…
Some sharp differential sphere theorems for nonnegative scalar curvature manifolds
Qing Cui, Linlin Sun
In this paper, we obtain several new intrinsic and extrinsic differential sphere theorems via Ricci flow. For intrinsic case, we show that a closed simply connected -dime…
Optimal lower eigenvalue estimates for Hodge-Laplacian and applications
Qing Cui, Linlin Sun
In this paper, we consider the eigenvalue problem for Hodge-Laplacian on a Riemannian manifold isometrically immersed into another Riemannian manifold for arbitrary co…
On the volume of locally conformally flat 4 dimensional hypersphere
Qing Cui, Linlin Sun
Let be a 5 dimensional Riemannian manifold with , be a locally conformally flat hypersphere in with mean curvature . We prove that, there exists $\var…
Second Order Necessary Conditions for Optimal Control Problems on Riemannian Manifolds
Qing Cui, Li Deng, Xu Zhang
This work is concerned with an optimal control problem on a Riemannian manifold, for which two typical cases are considered. The first case is when the endpoint is free. For this c…