PreprintCC BY 4.0arXiv
Infinitesimally Euclidean metric surfaces
Abstract
We prove the equivalence of several notions of infinitesimally Euclidean-like behaviour for metric surfaces appearing in the literature. We obtain in particular that metric surfaces with property (ET) are universally infinitesimally Hilbertian.
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BibTeX
@misc{lytchak2026infinitesimally,
title = {{Infinitesimally Euclidean metric surfaces}},
author = {Alexander Lytchak and Elefterios Soultanis},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.24626},
eprint = {2610.24626},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.24626},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Infinitesimally Euclidean metric surfaces
AU - Alexander Lytchak
AU - Elefterios Soultanis
PY - 2026
DA - 2026/10/17
PB - arXiv
DO - 10.48550/arxiv.2610.24626
UR - https://arxiv.org/abs/2610.24626
AB - We prove the equivalence of several notions of infinitesimally Euclidean-like behaviour for metric surfaces appearing in the literature. We obtain in particular that metric surfaces with property (ET) are universally infinitesimally Hilbertian.
ER -