Metrisability of three-dimensional projective structures

2017/12/17 by Michael Eastwood, Eastwood, Michael · 1 citation
Mathematics · #53A20 #Advanced Topics in Algebra #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric and Algebraic Topology #math.DG #msc:53A20

paper · pdf · doi:10.48550/arxiv.1712.06191

14 pages. As pointed out by Maciej Dunajski, the previous proof of Theorem 3 was incomplete. In this version, the proof is complete. Also, following helpful discussions with Felipe Contatto and Maciej Dunajski, Theorem 4 has been added

openalex publication_date 2017/12/17 · arxiv created 2018/01/16 · arxiv updated 2018/01/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We solve the metrisability problem for generic three-dimensional projective structures.

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