2 citations · 7 across the 10 of their papers we have counts for
11 papers
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 denotes the complete elliptic integral of the first kind, and set $g…
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…
Unique Continuation Problem on RCD Spaces. I
Qin Deng, Xinrui Zhao
In this note we establish the weak unique continuation theorem for caloric functions on compact spaces and show that there exists an space on which there exis…
Failure of strong unique continuation for harmonic functions on RCD Spaces
Qin Deng, Xinrui Zhao
Unique continuation of harmonic functions on space is a long-standing open problem, with little known even in the setting of Alexandrov spaces. In this paper, we establish th…
Improved regularity estimates for Lagrangian flows on spaces
Elia Bruè, Qin Deng, Daniele Semola
This paper gives a contribution to the study of regularity of Lagrangian flows on non-smooth spaces with lower Ricci curvature bounds. The main novelties with respect to the existi…
Hölder continuity of tangent cones in RCD(K,N) spaces and applications to non-branching
Qin Deng
In this paper we prove that a metric measure space satisfying the finite Riemannian curvature-dimension condition is non-branching and that tangent cones…
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…