3 papers
math.DG2026
Fibrations, the First Betti Number, and Almost Nonnegative Ricci Curvature
Hongzhi Huang, Xian-Tao Huang, Jikang Wang +1
In this paper, we prove fibration theorems for manifolds with almost nonnegative Ricci curvature and certain extra regularity assumptions. We show that a closed -manifold sa…
math.DG2025
On the local topology of non-collapsed Ricci bounded limit spaces
Song Sun, Jikang Wang, Junsheng Zhang
We show that for a pointed Gromov-Hausdorff limit of non-collapsed Riemannian manifolds with bounded Ricci curvature, the local of the regular loci vanishes. We also discuss…
math.DG2021
Some topological results of Ricci limit spaces
Jiayin Pan, Jikang Wang
We study the topology of a Ricci limit space , which is the Gromov-Hausdorff limit of a sequence of complete -manifolds with . Our fi…