• Corpus ID: 247158804

# On Lipschitz Normally Embedded singularities

```@inproceedings{Fantini2022OnLN,
title={On Lipschitz Normally Embedded singularities},
author={Lorenzo Fantini and Anne Pichon},
year={2022}
}```
• Published 28 February 2022
• Mathematics
Any subanalytic germ (X, 0) ⊂ (R, 0) is equipped with two natural metrics: its outer metric, induced by the standard Euclidean metric of the ambient space, and its inner metric, which is defined by measuring the shortest length of paths on the germ (X, 0). The germs for which these two metrics are equivalent up to a bilipschitz homeomorphism, which are called Lipschitz Normally Embedded, have attracted a lot of interest in the last decade. In this survey we discuss many general facts about…

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