7 citations · 17 across the 9 of their papers we have counts for
9 papers
Locally Conformally Flat Manifolds with Positive Scalar Curvature: Kleinian Groups, Moduli Spaces, and Euclidean Rigidity
Jialong Deng
We study locally conformally flat (LCF) Riemannian manifolds with nonnegative or positive scalar curvature (PSC), using the conformal boundary of the developing image. For closed o…
Cohn--Vossen-Type Inequalities for Three-Manifolds and Locally Conformally Flat Manifolds
Jialong Deng
We prove Cohn--Vossen-type scalar curvature inequalities on complete noncompact Riemannian manifolds with nonnegative Ricci curvature, motivated by Yau's higher-dimensional problem…
Quasiconformal Mappings and Curvatures on Metric Measure Spaces
Jialong Deng
In an attempt to develop higher-dimensional quasiconformal mappings on metric measure spaces with curvature conditions, i.e. from Ahlfors to Alexsandrov, we show that a non-collaps…
Sphere Theorems with and without Smoothing
Jialong Deng
We show two sphere theorems for the Riemannian manifolds with scalar curvature bounded below and the non-collapsed spaces with mean distance close to $\fracπ{…
Metric topology on the moduli space
Jialong Deng
We define the smooth Lipschitz topology on the moduli space and show that each conformal class is dense in the moduli space endowed with Gromov-Hausdorff topology, which offers an…
Curvature-Dimension Condition Meets Gromov's -Volumic Scalar Curvature
Jialong Deng
We study the properties of the -volumic scalar curvature in this note. Lott-Sturm-Villani's curvature-dimension condition was showed to imply Gromov's -volumi…
Enlargeable Length-structures and Scalar Curvatures
Jialong Deng
We define enlargeable length-structures on closed topological manifolds and then show that the connected sum of a closed -manifold with an enlargeable Riemannian length-structur…
A note about scalar curvature on the total space of a vector bundle
Jialong Deng
We construct complete Riemannian metrics to show that the total space of tangent bundles of orientable closed surfaces (except torus) admits complete uniformly PSC-metrics. It give…
General PT-Symmetric Matrices
Jia-wen Deng, Uwe Guenther, Qing-hai Wang
Three ways of constructing a non-Hermitian matrix with possible all real eigenvalues are discussed. They are PT symmetry, pseudo-Hermiticity, and generalized PT symmetry. Parameter…