On surfaces with conical singularities of arbitrary angle
Geometric Topology
2014-12-11 v1 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 set of closed geodesics is dense in the space of geodesics.
Keywords
Cite
@article{arxiv.1412.3404,
title = {On surfaces with conical singularities of arbitrary angle},
author = {Charalampos Charitos and Ioannis Papadoperakis and Georgios Tsapogas},
journal= {arXiv preprint arXiv:1412.3404},
year = {2014}
}
Comments
16 pages, 1 figure