The Sub-Index of Critical Points of Distance Functions
Differential Geometry
2015-09-24 v3
Abstract
We define a new notion---the sub-index of a critical point of a distance function. We show how sub-index affects the homotopy type of sublevel sets of distance functions.
Cite
@article{arxiv.1409.0132,
title = {The Sub-Index of Critical Points of Distance Functions},
author = {Barbara Herzog and Frederick Wilhelm},
journal= {arXiv preprint arXiv:1409.0132},
year = {2015}
}
Comments
We corrected a mistake in the proof of Theorem 3.2