A Construction of Einstein-Weyl Spaces via LeBrun-Mason Type Twistor Correspondence

Author:

Nakata Fuminori

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference16 articles.

1. Calderbank, D.M.J.: Selfdual 4-manifolds, projective surfaces, and the Dunajski-West construction. http://arxiv.org/abs/math.DG/0606754 , 2006

2. Dunajski M.: A class of Einstein-Weyl spaces associated to an integrable system of hydrodynamic type. J. Geom. Phys. 51(1), 126–137 (2004)

3. Dunajski M., Mason L.J., Tod P.: Einstein-Weyl geometry, the dKP equation and twistor theory. J. Geom. Phys. 37(1–2), 63–93 (2001)

4. Dunajski M., West S.: Anti-self-dual conformal structures with null Killing vectors from projective structures. Commum. Math. Phys. 272(1), 85–118 (2007)

5. Dunajski, M., West, S.: Anti-self-dual conformal structures in neutral signature. http://arxiv.org/abs/math/0610280V4[math.DG] , 2008, to appear in Recent Developments in pseudo In: Riemannian geometry, ESI-Series on Math and Physics

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1. Einstein–Weyl geometry, dispersionless Hirota equation and Veronese webs;Mathematical Proceedings of the Cambridge Philosophical Society;2014-04-24

2. Integrable Background Geometries;Symmetry, Integrability and Geometry: Methods and Applications;2014-03-28

3. An integral transform on a cylinder and the twistor correspondence;Differential Geometry and its Applications;2012-10

4. Wave equations and the LeBrun-Mason correspondence;Transactions of the American Mathematical Society;2012-09-01

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