Representation formula for discrete indefinite affine spheres
Differential Geometry
2020-01-23 v1
Abstract
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.
Cite
@article{arxiv.2001.07943,
title = {Representation formula for discrete indefinite affine spheres},
author = {Shimpei Kobayashi and Nozomu Matsuura},
journal= {arXiv preprint arXiv:2001.07943},
year = {2020}
}
Comments
38 pages