Can I read The Construction of $\Epsilon$-splitting Map on EtoBox?

The Construction of $\Epsilon$-splitting Map by Xu, Guoyi; Zhou, Jie is a scholarly article available to read on EtoBox.

What is The Construction of $\Epsilon$-splitting Map about?

For a geodesic ball with non-negative Ricci curvature and almost maximal volume, without using compactness argument, we construct an $\epsilon$-splitting map on a concentric geodesic ball with uniformly small radius. There are two new technical points in our proof. The first one is the way of finding $n$ directional points by induction and stratified almost Gou-Gu Theorem. The other one is the error estimates of projections, which guarantee the $n$ directional points we find really determine $n$ different directions.

Author

Xu, Guoyi; Zhou, Jie

Published

2022

Language

EN