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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.