PreprintCC BY 4.0arXiv
An axiom of unique reflection
Abstract
We characterize neutral planes by three metric conditions: existence of geodesics, side-side-side congruence, and uniqueness of reflection.
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BibTeX
@misc{lebedeva2026axiom,
title = {{An axiom of unique reflection}},
author = {Nina Lebedeva and Anton Petrunin},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.07099},
eprint = {2611.07099},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.07099},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - An axiom of unique reflection
AU - Nina Lebedeva
AU - Anton Petrunin
PY - 2026
DA - 2026/11/04
PB - arXiv
DO - 10.48550/arxiv.2611.07099
UR - https://arxiv.org/abs/2611.07099
AB - We characterize neutral planes by three metric conditions: existence of geodesics, side-side-side congruence, and uniqueness of reflection.
ER -