New explicit Lorentzian Einstein-Weyl structures in 3-dimensions

DOI10.3842/SIGMA.2020.056zbMath1442.83009arXiv1906.10880OpenAlexW2955482379MaRDI QIDQ2190682

Joël Merker, Paweł~ Nurowski

Publication date: 21 June 2020

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.10880

zbMATH Keywords

Einstein-Weyl structuresexterior differential systemsLorentzian metricsthird-order ordinary differential equationsCartan's method of equivalenceWünschmann invariantMonge invariantpara-CR structures

Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26) Symmetries, invariants of ordinary differential equations (34C14) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Exterior differential systems (Cartan theory) (58A15) Analogues of general relativity in lower dimensions (83C80) Exact solutions to problems in general relativity and gravitational theory (83C15) Differential invariants (local theory), geometric objects (53A55) (G)-structures (53C10)

Related Items (6)

Differentiall $ {e} $-structures for equivalences of $ 2 $-nondegenerate Levi rank $ 1 $ hypersurfaces $ M_5 ⊂ \mathbb{C} $ ⋮ New explicit Lorentzian Einstein-Weyl structures in 3-dimensions ⋮ Five-dimensional para-CR manifolds and contact projective geometry in dimension three ⋮ Equivalences of PDE systems associated to degenerate para-CR structures: foundational aspects ⋮ On convergent Poincaré-Moser reduction for Levi degenerate embedded 5-dimensional CR manifolds ⋮ On differential invariants of parabolic surfaces

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