A Cheeger-like inequality for coexact 1-forms
Differential Geometry
2021-04-30 v2 Spectral Theory
Abstract
We state and prove a Cheeger-like inequality for coexact 1-forms on closed orientable Riemannian manifolds.
Keywords
Cite
@article{arxiv.2103.09167,
title = {A Cheeger-like inequality for coexact 1-forms},
author = {Adrien Boulanger and Gilles Courtois},
journal= {arXiv preprint arXiv:2103.09167},
year = {2021}
}
Comments
We corrected an error in Section 2 which changed the statement of our main theorem. In dimension 3 the result is the same that in the previous version but in dimension 4 and more the assumption that the Ricci curvature is bounded below has to be replaced with the assumption that the sectional curvature is bounded above and below