%0 Journal Article
%T Zoll Metrics, Branched Covers, and Holomorphic Disks
%A Claude LeBrun
%A L. J. Mason
%J Mathematics
%D 2010
%I arXiv
%X We strengthen our previous results regarding the moduli spaces of Zoll metrics and Zoll projective structures on S^2. In particular, we describe a concrete, open condition which suffices to guarantee that a totally real embedding of RP^2 in CP_2 arises from a unique Zoll projective structure on the 2-sphere. Our methods ultimately reflect the special role such structures play in the initial value problem for the 3-dimensional Lorentzian Einstein-Weyl equations.
%U http://arxiv.org/abs/1002.2993v1