13 citations · 28 across the 6 of their papers we have counts for
7 papers
The Einstein-Weyl spaces associated to Segre quartic surfaces
Nobuhiro Honda, Fuminori Nakata
We find explicit examples of compact minitwistor spaces of genus one, whose Einstein-Weyl spaces have a connected component that is diffeomorphic to the de Sitter space. The induce…
An integral transform on a cylinder and the twistor correspondence
Fuminori Nakata
Twistor correspondences for R-invariant indefinite self-dual conformal structures on R^4 are established explicitly. These correspondences are written down by using a natural integ…
Wave equations and the LeBrun-Mason correspondence
Fuminori Nakata
The LeBrun-Mason twistor correspondences for -invariant self-dual Zollfrei metrics are explicitly established. We give explicit formulas for the general solutions of the wave…
Minitwistor spaces, Severi varieties, and Einstein-Weyl structure
Nobuhiro Honda, Fuminori Nakata
In this paper we show that the space of nodal rational curves, which is so called a Severi variety (of rational curves), on any non-singular projective surface is always equipped w…
A construction of Einstein-Weyl spaces via LeBrun-Mason type twistor correspondence
Fuminori Nakata
We construct infinitely many Einstein-Weyl structures on of signature (-++) which is sufficiently close to the model case of constant curvature, and whose space-like…
Self-dual Zollfrei conformal structures with alpha-surface foliation
Fuminori Nakata
A global twistor correspondence is established for neutral self-dual conformal structures with alpha-surface foliation when the structure is close to the standard structure on S^2…