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Projective geometry, Lagrangian subspaces, and twistor theory

✍ Scribed by P. Campbell


Publisher
Springer
Year
1979
Tongue
English
Weight
345 KB
Volume
18
Category
Article
ISSN
0020-7748

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Einstein–Weyl geometry, the dKP equation
✍ Maciej Dunajski; Lionel J. Mason; Paul Tod πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 226 KB

It is shown that Einstein-Weyl (EW) equations in 2+1 dimensions contain the dispersionless Kadomtsev-Petviashvili (dKP) equation as a special case: if an EW structure admits a constantweighted vector then it is locally given by h = dy 2 -4 dx dt -4u dt 2 , Ξ½ = -4u x dt, where u = u(x, y, t) satisfie