4 papers
math.DG2026
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…
math.DG2017
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…
math.DG2017
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…
math.DG2016
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…