Qing Cui

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math.DG2024

Minimal hypersurfaces in $S^{5}$ with constant scalar curvature and zero Gauss curvature are totally geodesic

Qing Cui

We show that a closed minimal hypersurface in $S^{5}$ with constant scalar curvature and zero Gauss curvature is totally geodesic.

math.DG2016

On the volume of locally conformally flat 4 dimensional hypersphere

Qing Cui, Linlin Sun

Let $M$ be a 5 dimensional Riemannian manifold with $S e c_{M} \in [0, 1]$ , $Σ$ be a locally conformally flat hypersphere in $M$ with mean curvature $H$ . We prove that, there exists $\var…

Minimal hypersurfaces in S5 with constant scalar curvature and zero Gauss curvature are totally geodesic

On the volume of locally conformally flat 4 dimensional hypersphere

Minimal hypersurfaces in $S^{5}$ with constant scalar curvature and zero Gauss curvature are totally geodesic