arXiv:2208.08475 Abstract | arXiv Analytics

arXiv:2208.08475 [math.DG]Abstract References Reviews Resources

A Riemannian plane with only two injective Geodesics

Published 2022-08-17Version 1

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.

Comments: are welcome

Categories: math.DG

Subjects: 53C22

Keywords: injective geodesics, complete riemannian plane, open problems, example arises, contracting end

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