Zobrazeno 1 - 10
of 44
pro vyhledávání: '"Matsuura, Nozomu"'
Autor:
Matsuura, Nozomu, Suyama, Yoshihiko
We study generic conformally flat (analytic-)hypersurfaces in the Euclidean $4$-space $\mathbb{R}^4$. Such a local-hypersurface is obtained as an evolution of surfaces issuing from a certain surface in $\mathbb{R}^4$, and then, in consequence, the or
Externí odkaz:
http://arxiv.org/abs/2301.12128
Autor:
Kobayashi, Shimpei, Matsuura, Nozomu
We present a representation formula for discrete indefinite affine spheres via loop group factorizations. This formula is derived from the Birkhoff decomposition of loop groups associated with discrete indefinite affine spheres. In particular we show
Externí odkaz:
http://arxiv.org/abs/2001.07943
Autor:
Park, Hyeongki, Inoguchi, Jun-ichi, Kajiwara, Kenji, Maruno, Ken-ichi, Matsuura, Nozomu, Ohta, Yasuhiro
We formulate an isoperimetric deformation of curves on the Minkowski plane, which is governed by the defocusing mKdV equation. Two classes of exact solutions to the defocusing mKdV equation are also presented in terms of the $\tau$ functions. By usin
Externí odkaz:
http://arxiv.org/abs/1807.07736
The local induction equation, or the binormal flow on space curves is a well-known model of deformation of space curves as it describes the dynamics of vortex filaments, and the complex curvature is governed by the nonlinear Schr\"odinger equation. I
Externí odkaz:
http://arxiv.org/abs/1708.01704
Publikováno v:
MI Lecture Note Vol.64 (Kyushu University, 2015) pp.93-192
The local induction equation, or the binormal flow on space curves is a well-known model of deformation of space curves as it describes the dynamics of vortex filaments, and the complex curvature is governed by the nonlinear Schr\"odinger equation (N
Externí odkaz:
http://arxiv.org/abs/1511.08076
We study deformations of plane curves in the similarity geometry. It is known that continuous deformations of smooth curves are described by the Burgers hierarchy. In this paper, we formulate the discrete deformation of discrete plane curves describe
Externí odkaz:
http://arxiv.org/abs/1511.04152
In this paper, we consider the discrete deformation of the discrete space curves with constant torsion described by the discrete mKdV or the discrete sine-Gordon equations, and show that it is formulated as the torsion-preserving equidistant deformat
Externí odkaz:
http://arxiv.org/abs/1311.4245
We construct explicit solutions to continuous motion of discrete plane curves described by a semi-discrete potential modified KdV equation. Explicit formulas in terms the $\tau$ function are presented. B\"acklund transformations of the discrete curve
Externí odkaz:
http://arxiv.org/abs/1108.1328
We construct explicit solutions to the discrete motion of discrete plane curves that has been introduced by one of the authors recently. Explicit formulas in terms the $\tau$ function are presented. Transformation theory of the motions of both smooth
Externí odkaz:
http://arxiv.org/abs/1008.2808
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