A Riemannian plane with only two injective Geodesics
Differential Geometry
2022-08-19 v1
Abstract
We present an example of a complete Riemannian plane with precisely two injective geodesics - up to reparameterization. The example arises as a perturbation of a surface of revolution with contracting end. The last section is devoted to open problems.
Keywords
Cite
@article{arxiv.2208.08475,
title = {A Riemannian plane with only two injective Geodesics},
author = {Victor Bangert and Stefan Suhr},
journal= {arXiv preprint arXiv:2208.08475},
year = {2022}
}
Comments
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