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math.DG2026
Geometric transformation theorem, fundamental groups and monotone of numbers of almost Euclidean factors of geodesic balls
Lina Chen
In \cite{HH}, H. Huang-X.Huang introduced the generalized Reifenberg condition which describes the non-increasing property of numbers of almost Euclidean factors of geodesic balls…
math.DG2025
Fundamental groups of open manifolds with nonnegative Ricci curvature and universal cover Euclidean volume growth
Lina Chen
In this note, we will give an positive answer to Pan-Rong's conjecture that for an open manifold with nonnegative Ricci curvature, if its universal cover has Euclidean volume growt…
math.DG2025
2-regular points in Ricci limit spaces
Lina Chen
In this note, we will show that if a measured Gromov-Hausdorff limit space of a sequence of Riemannian manifolds with lower Ricci curvature bound contains a 2-regular point which l…