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Metric Spaces where Geodesics are Never Unique

By Amlan Banaji
This article concerns a class of metric spaces, which we call multigeodesic spaces, where between any two distinct points there exist multiple distinct minimising geodesics. We provide a simple characterisation of multigeodesic normed spaces and deduce that (C([0,1]),1)(C([0,1]),||\cdot||_1) is an example of such a space, but that finite-dimensional normed spaces... Show more
September 1, 2022
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Metric Spaces where Geodesics are Never Unique
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