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A construction of Einstein-Weyl spaces via LeBrun-Mason type twistor correspondence | | Fuminori Nakata
; | | Date: |
17 Jun 2008 | | Abstract: | We construct infinitely many Einstein-Weyl structures on $S^2 imes R$ of
signature (-++) which is sufficiently close to the model case of constant
curvature, and whose space-like geodesics are all closed. Such structures are
obtained from small perturbations of the diagonal of $CP^1 imes CP^1$ using
the method of LeBrun-Mason type twistor theory. The geometry of constructed
Einstein-Weyl space is well understood from the configuration of holomorphic
disks. We also review Einstein-Weyl structures and their properties in the
former half of this article. | | Source: | arXiv, 0806.2696 | | Services: | Forum | Review | PDF | Favorites | |
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