A Riemannian plane with only two injective Geodesics

Victor Bangert; Stefan Suhr

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arXiv · 2208.08475

A Riemannian plane with only two injective Geodesics

Victor Bangert·Stefan Suhr

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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.

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Victor Bangert, Stefan Suhr. 2022-08-17. A Riemannian plane with only two injective Geodesics. https://arxiv.org/abs/2208.08475

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