Zobrazeno 1 - 10
of 28
pro vyhledávání: '"Nakata, Fuminori"'
Autor:
Honda, Nobuhiro, Nakata, Fuminori
We provide a new family of indefinite Einstein-Weyl structures of signature (++-) on a 3-manifold, which are real analytic and space-like Zoll. They are obtained by using the minitwistor correspondence. The minitwistor spaces we use are Segre quartic
Externí odkaz:
http://arxiv.org/abs/2208.13567
Autor:
Nakata, Fuminori
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 integral transform from functions on a two dimensional cylinder to function
Externí odkaz:
http://arxiv.org/abs/1201.3450
Autor:
Nakata, Fuminori
The LeBrun-Mason twistor correspondences for $S^1$-invariant self-dual Zollfrei metrics are explicitly established. We give explicit formulas for the general solutions of the wave equation and the monopole equation on the de Sitter three-space under
Externí odkaz:
http://arxiv.org/abs/0907.0928
Autor:
Honda, Nobuhiro, Nakata, Fuminori
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 with a natural Einstein-Weyl structure, if the space is 3-dimensional.
Externí odkaz:
http://arxiv.org/abs/0901.2264
Autor:
Nakata, Fuminori
We construct infinitely many Einstein-Weyl structures on $S^2 \times R$ 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 per
Externí odkaz:
http://arxiv.org/abs/0806.2696
Autor:
Nakata, Fuminori
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 times S^2. We need to introduce some singularity for the alpha-surface
Externí odkaz:
http://arxiv.org/abs/math/0701116
Autor:
Nakata, Fuminori
We construct examples of singular self-dual Zollfrei metrics explicitly, by patching a pair of Petean's self-dual split-signature metrics. We prove that there is a natural one-to-one correspondence between these singular metrics and a certain set of
Externí odkaz:
http://arxiv.org/abs/math/0607276
Autor:
Nakata, Fuminori
Publikováno v:
数理解析研究所講究録. 2145:54-68
Autor:
Nakata, Fuminori
Publikováno v:
In Journal of Geometry and Physics 2007 57(6):1477-1498
Autor:
Nakata, Fuminori1 nakata@math.titech.ac.jp
Publikováno v:
Communications in Mathematical Physics. Jul2009, Vol. 289 Issue 2, p663-699. 37p.