Metric Spaces where Geodesics are Never Unique

DOI10.1080/00029890.2023.2231332zbMath1526.53040arXiv2209.00598OpenAlexW4385198571MaRDI QIDQ6058318

Amlan Banaji

Publication date: 1 November 2023

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.00598

zbMATH Keywords

metric spacesgeodesicsmultigeodesic spaces

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Nonseparable Banach spaces (46B26) Higher-dimensional local connectedness (54F35)

Cites Work

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• Über den Begriff der vollständigen differentialgeometrischen Fläche
• Branching geodesics in sub-Riemannian geometry
• PLANE WITH $A_{\infty}$ -WEIGHTED METRIC NOT BILIPSCHITZ EMBEDDABLE TO ${\bb R}^n$
• Examples of spaces with branching geodesics satisfying the curvature-dimension condition
• Bilipschitz embeddings of metric spaces into space forms

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