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math.DG2008
The Einstein-Weyl Equations, Scattering Maps, and Holomorphic Disks
Claude LeBrun, L. J. Mason
We show that conformally compact, globally hyperbolic, Lorentzian Einstein-Weyl 3-manifolds are in natural one-to-one correspondence with orientation-reversing diffeomorphisms of t…
math.DG2002
Zoll Manifolds and Complex Surfaces
Claude LeBrun, L. J. Mason
We classify compact surfaces with torsion-free affine connections for which every geodesic is a simple closed curve. In the process, we obtain completely new proofs of all the majo…