7 citations · 7 across the 3 of their papers we have counts for
4 papers · 1 filter
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…
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…
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…