Some Regularity of submetries
Differential Geometry
2023-10-03 v2
Abstract
We discuss regularity statements for equidistant decompositions of Riemannian manifolds and for the corresponding quotient spaces. We show that any stratum of the quotient space has curvature locally bounded from both sides.
Cite
@article{arxiv.2307.14284,
title = {Some Regularity of submetries},
author = {Alexander Lytchak},
journal= {arXiv preprint arXiv:2307.14284},
year = {2023}
}
Comments
The dependence of constants clarified in comparison to the first version