Yunjia Kou

collaborators

4 papers

math.CA2026

Endpoint Absolute Monotonicity for the Complete Elliptic Integral of the First Kind

Qintao Deng, Yunjia Kou, Fulin Zhong

Let \begin{equation*} f_p(x)=\frac{\mathcal{K}(\sqrt{x})}{p-\ln\sqrt{1-x}}, \end{equation*} where $K$ denotes the complete elliptic integral of the first kind, and set $g…

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…

Endpoint Absolute Monotonicity for the Complete Elliptic Integral of the First Kind

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