PreprintarXiv licencearXiv
A proof of Cairns' conjecture about geodesic triangulations of the 2-sphere
Abstract
This paper contains a detailed proof of a 1941 conjecture of S.S. Cairns concerning the space of geodesic triangulations of the 2-sphere. The methods are neither combinatorical nor Riemannian but belong to differential topology.
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BibTeX
@misc{cerf2026proof,
title = {{A proof of Cairns' conjecture about geodesic triangulations of the 2-sphere}},
author = {Jean Cerf},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.10586},
eprint = {2609.10586},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.10586},
}
RIS
TY - UNPB
TI - A proof of Cairns' conjecture about geodesic triangulations of the 2-sphere
AU - Jean Cerf
PY - 2026
DA - 2026/09/06
PB - arXiv
DO - 10.48550/arxiv.2609.10586
UR - https://arxiv.org/abs/2609.10586
AB - This paper contains a detailed proof of a 1941 conjecture of S.S. Cairns concerning the space of geodesic triangulations of the 2-sphere. The methods are neither combinatorical nor Riemannian but belong to differential topology.
ER -