Soft restrictions on positively curved Riemannian submersions
Differential Geometry
2015-02-10 v2
Abstract
We bound the dimension of the fiber of a Riemannian submersion from a positively curved manifold in terms of the dimension of the base of the submersion and either its conjugate radius or the length of its shortest closed geodesic.
Keywords
Cite
@article{arxiv.1501.01813,
title = {Soft restrictions on positively curved Riemannian submersions},
author = {David González and Luis Guijarro},
journal= {arXiv preprint arXiv:1501.01813},
year = {2015}
}
Comments
Some typos corrected