论文标题

离散无限仿射球的表示公式

Representation formula for discrete indefinite affine spheres

论文作者

Kobayashi, Shimpei, Matsuura, Nozomu

论文摘要

我们提出了通过循环群体化的离散无限仿射球的表示公式。该公式源自与离散无限仿射球相关的循环基团的Birkhoff分解。特别是我们表明,可以从两个离散平面曲线构建一个离散的不当仿射球。

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 that a discrete indefinite improper affine sphere can be constructed from two discrete plane curves.

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