Jikang Wang

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20212024

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math.DG2024

On the non-collapsed RCD spaces with local bounded covering geometry

Jikang Wang

We consider a RCD $(- (N - 1), N)$ space $(X, d, H^{N})$ with local bounded covering geometry. The first result is related to Gromov's almost flat manifold theorem. Specifically,…

math.DG2023

On the limit of simply connected manifolds with discrete isometric cocompact group actions

Jikang Wang

We study complete, connected and simply connected $n$ -dim Riemannian manifold $M$ satisfying Ricci curvature lower bound. Further more, suppose that $M$ admits discrete isometric g…

math.DG2021

Ricci Limit Spaces Are Semi-locally Simply Connected

Jikang Wang

Let $(X, p)$ be a Ricci limit space. We show that for any $ε > 0$ and $x \in X$ , there exists $r < ε$ , depending on $ε$ and $x$ , so that any loop in $B_{r} (x)$ is contractible in $B_ε…