Webs and projective structures on a plane

2013/03/20 by Wojciech Kryński, Kryński, Wojciech · 1 citation
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #math.DG

paper · pdf · doi:10.48550/arxiv.1303.4912

arxiv created 2013/03/20 · arxiv updated 2013/03/21

Abstract

We prove that there is a correspondence between projective structures defined by torsion-free connections with skew-symmetric Ricci tensor and Veronese webs on a plane. The correspondence is used to characterise the projective structures in terms of second order ODEs.

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• Quasi-Einstein structures and Hitchin's equations

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• Notes on projective structures with torsion
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