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arXiv · 2609.10586

A proof of Cairns' conjecture about geodesic triangulations of the 2-sphere

Jean Cerf
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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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Jean Cerf. 2026-09-06. A proof of Cairns' conjecture about geodesic triangulations of the 2-sphere. https://arxiv.org/abs/2609.10586

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