Symmetric (2,3,5) distributions, an interesting ODE of 7th order and Plebanski metric

2013/02/07 by Daniel An, Pawel Nurowski, An, Daniel +2 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Point processes and geometric inequalities #math.DG

paper · pdf · doi:10.48550/arxiv.1302.1910

In this version we added Section 4, which shows that Noth's equation is a common feature of G2 flatness for twistor distributions coming from Plebanski second heavenly metrics

openalex publication_date 2013/02/07 · arxiv created 2016/08/03 · arxiv updated 2016/08/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that the unique 7th order ODE having 10 contact symmetries appears naturally in the theory of generic 2-distributions in dimension five.

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• On the eta invariant of (2,3,5) distributions

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