9 citations · 9 across the 5 of their papers we have counts for
6 papers
Codimension-four regularity of noncollapsed Ricci limit spaces under an integral volume-deficit bound
Lingling Kong
Let be an -dimensional noncollapsed Ricci limit space, where . Under an integral volume-deficit bound, we prove that the metric singular set has Hausdorff codim…
Codimension-three regularity of noncollapsed Ricci limit spaces under an integral volume-deficit bound
Lingling Kong
Let be a noncollapsed pointed Gromov--Hausdorff limit of complete -dimensional Riemannian manifolds with a uniform lower Ricci curvature bound, where . We assum…
Canonical nilpotent structure under bounded Ricci curvature and Reifenberg local covering geometry over regular limits
Zuohai Jiang, Lingling Kong, Shicheng Xu
It is known that a closed collapsed Riemannian -manifold of bounded Ricci curvature and Reifenberg local covering geometry admits a nilpotent structure in the sense of C…
Convergence of Ricci-limit spaces under bounded Ricci curvature and local covering geometry I
Zuohai Jiang, Lingling Kong, Shicheng Xu
We extend Cheeger-Gromov's and Anderson's convergence theorems to regular limit spaces of manifolds with bounded Ricci curvature and local covering geometry, by establishing the $C…
Collapsed Manifolds With Ricci Bounded Covering Geometry
Hongzhi Huang, Lingling Kong, Xiaochun Rong +1
We study collapsed manifolds with Ricci bounded covering geometry i.e., Ricci curvature is bounded below and the Riemannian universal cover is non-collapsed or consists of uniform…
-valued lightcone Gauss map of a Lorentzian surface in semi-Euclidean 4-space
Donghe Pei, Lingling Kong, Jianguo Sun +1
We define the notions of -valued lightcone Gauss maps, lightcone pedal surface and Lorentzian lightcone height function of Lorentzian surface in semi-Euclidean 4…