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Point invariants of third-order ODEs and hyper-CR Einstein–Weyl structures

  • Published:2014-12 Issue: Volume:86 Page:296-302
  • ISSN:0393-0440
  • Container-title:Journal of Geometry and Physics
  • language:en
  • Short-container-title:Journal of Geometry and Physics

Author:

Dunajski Maciej,Kryński Wojciech

Funder

Polish National Science Centre

Publisher

Elsevier BV

Subject

Geometry and Topology,General Physics and Astronomy,Mathematical Physics

Reference16 articles.

1. K.W. Wünschmann, (1905) Inaug. Dissert., Teubner, Leipzig, 1905.

2. La geometria de las ecuationes diferenciales de tercer orden;Cartan;Revista Mat. Hispano-Amer.,1940

3. Sur une classe d’espaces de Weyl;Cartan;Ann. Sci. Ecole Norm. Supp.,1943

4. Einstein–Weyl geometry, the dKP equation and twistor theory;Dunajski;J. Geom. Phys.,2001

5. E. Ferapontov, B. Kruglikov, Dispersionless integrable systems in 3D and Einstein–Weyl geometry, arXiv:1208.2728 (2012).

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1. Three dimensional near-horizon metrics that are Einstein-Weyl;Archivum Mathematicum;2017

2. Webs and the Plebański equation;Mathematical Proceedings of the Cambridge Philosophical Society;2016-05-16

3. Paraconformal structures, ordinary differential equations and totally geodesic manifolds;Journal of Geometry and Physics;2016-05

4. Invariants of third-order ordinary differential equationsy′′′=f(x,y,y′,y′′) via point transformations;Mathematical Methods in the Applied Sciences;2015-07-28

5. Summary of session A4: Complex and conformal methods in classical and quantum gravity;General Relativity and Gravitation;2014-04-12
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