The geometry of Euclidean surfaces with conical singularities
Geometric Topology
2016-03-08 v3 Metric Geometry
Abstract
The geometry of closed surfaces equipped with a Euclidean metric with finitely many conical points of arbitrary angle is studied. The main result is that the image of a non-closed geodesic has 0 distance from the set of conical points. Dynamical properties for the space of geodesics are also proved.
Keywords
Cite
@article{arxiv.1306.1759,
title = {The geometry of Euclidean surfaces with conical singularities},
author = {Charalampos Charitos and Ioannis Papadoperakis and Georgios Tsapogas},
journal= {arXiv preprint arXiv:1306.1759},
year = {2016}
}
Comments
18 pages, 1 figure