First Betti number and collapse
Differential Geometry
2022-10-19 v1 Metric Geometry
Authors:
Sergio Zamora
Abstract
We show that when a sequence of Riemannian manifolds collapses under a lower Ricci curvature bound, the first Betti number cannot drop more than the dimension.
Cite
@article{arxiv.2209.12628,
title = {First Betti number and collapse},
author = {Sergio Zamora},
journal= {arXiv preprint arXiv:2209.12628},
year = {2022}
}
Comments
8 pages
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