Yunjia Kou

collaborators

3 papers

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.…

math.GT2026

Existence of Minimal Homotopies for Immersed Planar Curves

Lia Buchbinder, Yunjia Kou, Bala Krishnamoorthy +1

We study the existence of area-minimizing homotopies between homotopic curves in the plane. While the classical Plateau problem establishes the existence of least-area surfaces spa…

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

Existence of Minimal Homotopies for Immersed Planar Curves

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