Qintao Deng

collaborators

4 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.DG2026

Topology of two-dimensional collapsed spaces with lower Ricci bounds

Elia BruÃ¨, Qin Deng

We prove that collapsed metric measure spaces with Ricci curvature bounded below and essential dimension two are topological surfaces, possibly with boundary.

math.DG2025

Topology of non-collapsed three-dimensional RCD spaces

Qin Deng, Alessandro Pigati

We show that non-collapsed $RCD (K, 3)$ spaces without boundary are orbifolds whose topological singularities are locally finite and locally homeomorphic to cones over $\mathb…

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

Topology of two-dimensional collapsed spaces with lower Ricci bounds

Topology of non-collapsed three-dimensional RCD spaces

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