1 citations · 2 across the 6 of their papers we have counts for
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On the Rigidity of Closed CMC Hypersurfaces in with Constant Scalar Curvature
Qintao Deng, Yunjia Kou
Let be a closed CMC hypersurface with constant scalar curvature and constant third power sum . We prove that…
Closed Minimal Hypersurfaces in with Constant Scalar and Gauss-Kronecker Curvatures
Qintao Deng, Yunjia Kou
In this paper, we prove that any closed minimal hypersurface of with constant scalar curvature and constant Gauss-Kronecker curvature must be isoparametric.…
Topology of two-dimensional collapsed spaces with lower Ricci bounds
Elia Bruè, Qin Deng
We prove that collapsed metric measure spaces with Ricci curvature bounded below and essential dimension two are topological surfaces, possibly with boundary.
Topology of non-collapsed three-dimensional RCD spaces
Qin Deng, Alessandro Pigati
We show that non-collapsed spaces without boundary are orbifolds whose topological singularities are locally finite and locally homeomorphic to cones over $\mathb…
Sharp bounds and rigidity for volumes of boundaries of Alexandrov spaces
Qin Deng, Vitali Kapovitch
We obtain sharp volume bounds on the boundaries of Alexandrov spaces with given lower curvature bound, dimension, and radius. We also completely classify the rigidity case and anal…
Three-Dimensional Alexandrov spaces with positive or nonnegative Ricci curvature
Qintao Deng, Fernando Galaz-Garcia, Luis Guijarro +1
We study closed three-dimensional Alexandrov spaces with a lower Ricci curvature bound in the sense, focusing our attention on those with positive or nonnegati…