Manifolds without 1/k-geodesic
Differential Geometry
2007-05-23 v1
Abstract
It is a question by C.Sormani that whether there exists a , such that any compact, smooth and simply connected manifold has a 1/k-geodesic. We prove in this paper that this is not true by showing for each , there exists a metric on the sphere such that it has no 1/k-geodesic.
Cite
@article{arxiv.math/0610503,
title = {Manifolds without 1/k-geodesic},
author = {Wing Kai Ho},
journal= {arXiv preprint arXiv:math/0610503},
year = {2007}
}
Comments
11 pages, 8 figures