Yunjia Kou

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math.DG2026

On the Rigidity of Closed CMC Hypersurfaces in $S^{5} (1)$ with Constant Scalar Curvature

Qintao Deng, Yunjia Kou

Let $M^{4} ↪ S^{5} (1)$ be a closed CMC hypersurface with constant scalar curvature and constant third power sum $f_{3} = \sum_{i, j, k} h_{ij} h_{j k} h_{k i}$ . We prove that…

math.DG2026

Closed Minimal Hypersurfaces in $S^{5} (1)$ with Constant Scalar and Gauss-Kronecker Curvatures

Qintao Deng, Yunjia Kou

In this paper, we prove that any closed minimal hypersurface $M^{4}$ of $S^{5} (1)$ with constant scalar curvature and constant Gauss-Kronecker curvature must be isoparametric.…

On the Rigidity of Closed CMC Hypersurfaces in S5(1) with Constant Scalar Curvature

Closed Minimal Hypersurfaces in S5(1) with Constant Scalar and Gauss-Kronecker Curvatures

On the Rigidity of Closed CMC Hypersurfaces in $S^{5} (1)$ with Constant Scalar Curvature

Closed Minimal Hypersurfaces in $S^{5} (1)$ with Constant Scalar and Gauss-Kronecker Curvatures